157937815624140 has 192 divisors, whose sum is σ = 509141061918720. Its totient is φ = 40603170896640.

The previous prime is 157937815624117. The next prime is 157937815624177. The reversal of 157937815624140 is 41426518739751.

157937815624140 is a `hidden beast` number, since 1 + 5 + 7 + 9 + 378 + 15 + 6 + 241 + 4 + 0 = 666.

157937815624140 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13534179 + ... + 22339418.

It is an arithmetic number, because the mean of its divisors is an integer number (2651776364160).

It is a 1-persistent number, because it is pandigital, but 2⋅157937815624140 = 315875631248280 is not.

Almost surely, 2^{157937815624140} is an apocalyptic number.

157937815624140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

157937815624140 is an abundant number, since it is smaller than the sum of its proper divisors (351203246294580).

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

157937815624140 is a wasteful number, since it uses less digits than its factorization.

157937815624140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35873909 (or 35873901 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 63.

The spelling of 157937815624140 in words is "one hundred fifty-seven trillion, nine hundred thirty-seven billion, eight hundred fifteen million, six hundred twenty-four thousand, one hundred forty".