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155057136 = 243131747311
BaseRepresentation
bin10010011110111…
…11101111110000
3101210202201101220
421033133233300
5304143312021
623215225040
73561651423
oct1117375760
9353681356
10155057136
117a5867a3
1243b18180
132617c9b0
14168439ba
15d92ccc6
hex93dfbf0

155057136 has 160 divisors (see below), whose sum is σ = 467970048. Its totient is φ = 43806720.

The previous prime is 155057129. The next prime is 155057137. The reversal of 155057136 is 631750551.

155057136 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 155057097 and 155057106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155057137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 498421 + ... + 498731.

Almost surely, 2155057136 is an apocalyptic number.

155057136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 155057136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233985024).

155057136 is an abundant number, since it is smaller than the sum of its proper divisors (312912912).

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

155057136 is a wasteful number, since it uses less digits than its factorization.

155057136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 15750, while the sum is 33.

The square root of 155057136 is about 12452.1940235446. The cubic root of 155057136 is about 537.2345309591.

The spelling of 155057136 in words is "one hundred fifty-five million, fifty-seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 34 39 47 48 51 52 68 78 94 102 104 136 141 156 188 204 208 221 272 282 311 312 376 408 442 564 611 622 624 663 752 799 816 884 933 1128 1222 1244 1326 1598 1768 1833 1866 2256 2397 2444 2488 2652 3196 3536 3666 3732 4043 4794 4888 4976 5287 5304 6392 7332 7464 8086 9588 9776 10387 10574 10608 12129 12784 14617 14664 14928 15861 16172 19176 20774 21148 24258 29234 29328 31161 31722 32344 38352 41548 42296 43851 48516 58468 62322 63444 64688 68731 83096 84592 87702 97032 116936 124644 126888 137462 166192 175404 190021 194064 206193 233872 248489 249288 253776 274924 350808 380042 412386 496978 498576 549848 570063 701616 745467 760084 824772 993956 1099696 1140126 1490934 1520168 1649544 1987912 2280252 2981868 3040336 3230357 3299088 3975824 4560504 5963736 6460714 9121008 9691071 11927472 12921428 19382142 25842856 38764284 51685712 77528568 155057136