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157310878168134 = 23419435279225149
BaseRepresentation
bin100011110001001011001011…
…000000110011010001000110
3202121222202212120112222220000
4203301023023000303101012
5131104340134302340014
61314323341511422130
745064223131641165
oct4361131300632106
9677882776488800
10157310878168134
11461401947045a9
1215787a9a984946
1369a1476901b02
142abbc5c3cd3dc
15132c03c313509
hex8f12cb033446

157310878168134 has 160 divisors (see below), whose sum is σ = 379747716480000. Its totient is φ = 48512430622656.

The previous prime is 157310878168097. The next prime is 157310878168159. The reversal of 157310878168134 is 431861878013751.

157310878168134 is a `hidden beast` number, since 1 + 57 + 310 + 8 + 7 + 81 + 68 + 134 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 698584192 + ... + 698809340.

It is an arithmetic number, because the mean of its divisors is an integer number (2373423228000).

Almost surely, 2157310878168134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157310878168134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189873858240000).

157310878168134 is an abundant number, since it is smaller than the sum of its proper divisors (222436838311866).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

157310878168134 is a wasteful number, since it uses less digits than its factorization.

157310878168134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230504 (or 230495 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 63.

The spelling of 157310878168134 in words is "one hundred fifty-seven trillion, three hundred ten billion, eight hundred seventy-eight million, one hundred sixty-eight thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 19 27 38 43 54 57 81 86 114 129 162 171 258 342 387 513 774 817 1026 1161 1539 1634 2322 2451 3078 3483 4902 5279 6966 7353 10558 14706 15837 22059 31674 44118 47511 66177 95022 100301 132354 142533 200602 225149 226997 285066 300903 427599 450298 453994 601806 675447 680991 855198 902709 1350894 1361982 1805418 2026341 2042973 2708127 4052682 4085946 4277831 4312943 5416254 6079023 6128919 8124381 8555662 8625886 9681407 12158046 12257838 12833493 12938829 16248762 18237069 18386757 19362814 25666986 25877658 29044221 36474138 36773514 38500479 38816487 58088442 77000958 77632974 87132663 115501437 116449461 174265326 183946733 231002874 232898922 261397989 346504311 349348383 367893466 522795978 551840199 693008622 698696766 784193967 1103680398 1188561571 1568387934 1655520597 2377123142 3311041194 3565684713 4966561791 7131369426 9933123582 10697054139 14899685373 21394108278 22582669849 29799370746 32091162417 45165339698 51108147553 64182324834 67748009547 96273487251 102216295106 135496019094 153324442659 192546974502 203244028641 306648885318 406488057282 459973327977 609732085923 919946655954 971054803507 1219464171846 1379919983931 1829196257769 1942109607014 2759839967862 2913164410521 3658392515538 4139759951793 5826328821042 8279519903586 8739493231563 17478986463126 26218479694689 52436959389378 78655439084067 157310878168134