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134257042000 = 24534113911779
BaseRepresentation
bin111110100001001010…
…1111110001001010000
3110211112121022101102001
41331002111332021100
54144424300321000
6141402110203344
712462005012344
oct1750225761120
9424477271361
10134257042000
1151a35666864
122202a4b3554
13c877b32cb3
1466d8a0d624
15375b95e46a
hex1f4257e250

134257042000 has 160 divisors (see below), whose sum is σ = 334972310400. Its totient is φ = 52011648000.

The previous prime is 134257041911. The next prime is 134257042043. The reversal of 134257042000 is 240752431.

It is a self number, because there is not a number n which added to its sum of digits gives 134257042000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11392111 + ... + 11403889.

It is an arithmetic number, because the mean of its divisors is an integer number (2093576940).

Almost surely, 2134257042000 is an apocalyptic number.

134257042000 is a gapful number since it is divisible by the number (10) 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 134257042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167486155200).

134257042000 is an abundant number, since it is smaller than the sum of its proper divisors (200715268400).

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

134257042000 is a wasteful number, since it uses less digits than its factorization.

134257042000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11982 (or 11966 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

Adding to 134257042000 its reverse (240752431), we get a palindrome (134497794431).

The spelling of 134257042000 in words is "one hundred thirty-four billion, two hundred fifty-seven million, forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 41 50 80 82 100 125 139 164 200 205 250 278 328 400 410 500 556 656 695 820 1000 1025 1112 1390 1640 2000 2050 2224 2780 3280 3475 4100 5125 5560 5699 6950 8200 10250 11120 11398 11779 13900 16400 17375 20500 22796 23558 27800 28495 34750 41000 45592 47116 55600 56990 58895 69500 82000 91184 94232 113980 117790 139000 142475 188464 227960 235580 278000 284950 294475 455920 471160 482939 569900 588950 712375 942320 965878 1139800 1177900 1424750 1472375 1637281 1931756 2279600 2355800 2414695 2849500 2944750 3274562 3863512 4711600 4829390 5699000 5889500 6549124 7727024 8186405 9658780 11398000 11779000 12073475 13098248 16372810 19317560 23558000 24146950 26196496 32745620 38635120 40932025 48293900 60367375 65491240 67128521 81864050 96587800 120734750 130982480 134257042 163728100 193175600 204660125 241469500 268514084 327456200 335642605 409320250 482939000 537028168 654912400 671285210 818640500 965878000 1074056336 1342570420 1637281000 1678213025 2685140840 3274562000 3356426050 5370281680 6712852100 8391065125 13425704200 16782130250 26851408400 33564260500 67128521000 134257042000