157131396000 has 576 divisors, whose sum is σ = 586896710400. Its totient is φ = 39755520000.

The previous prime is 157131395989. The next prime is 157131396001. The reversal of 157131396000 is 693131751.

157131396000 is a `hidden beast` number, since 1 + 5 + 7 + 13 + 1 + 39 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (157131396001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 61594725 + ... + 61597275.

It is an arithmetic number, because the mean of its divisors is an integer number (1018917900).

Almost surely, 2^157131396000 is an apocalyptic number.

157131396000 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 157131396000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293448355200).

157131396000 is an abundant number, since it is smaller than the sum of its proper divisors (429765314400).

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

157131396000 is a wasteful number, since it uses less digits than its factorization.

157131396000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2670 (or 2649 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The spelling of 157131396000 in words is "one hundred fifty-seven billion, one hundred thirty-one million, three hundred ninety-six thousand".