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157137344 = 2671326981
BaseRepresentation
bin10010101110110…
…11100111000000
3101221200101220122
421113123213000
5310211343334
623331555412
73615434240
oct1127334700
9357611818
10157137344
1180777681
124475bb68
132672a7a0
1416c25b20
15dbde32e
hex95db9c0

157137344 has 56 divisors (see below), whose sum is σ = 383791968. Its totient is φ = 62161920.

The previous prime is 157137313. The next prime is 157137367. The reversal of 157137344 is 443731751.

157137344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7667 + ... + 19314.

It is an arithmetic number, because the mean of its divisors is an integer number (6853428).

Almost surely, 2157137344 is an apocalyptic number.

157137344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

157137344 is an abundant number, since it is smaller than the sum of its proper divisors (226654624).

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

157137344 is a wasteful number, since it uses less digits than its factorization.

157137344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27013 (or 27003 counting only the distinct ones).

The product of its digits is 35280, while the sum is 35.

The square root of 157137344 is about 12535.4435103031. The cubic root of 157137344 is about 539.6263350009.

The spelling of 157137344 in words is "one hundred fifty-seven million, one hundred thirty-seven thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 182 208 224 364 416 448 728 832 1456 2912 5824 26981 53962 107924 188867 215848 350753 377734 431696 701506 755468 863392 1403012 1510936 1726784 2455271 2806024 3021872 4910542 5612048 6043744 9821084 11224096 12087488 19642168 22448192 39284336 78568672 157137344