157391640 has 256 divisors, whose sum is σ = 608256000. Its totient is φ = 35458560.

The previous prime is 157391639. The next prime is 157391669. The reversal of 157391640 is 46193751.

157391640 is a `hidden beast` number, since 1 + 5 + 7 + 3 + 9 + 1 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 157391595 and 157391604.

It is a congruent number.

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, 823945 + ... + 824135.

It is an arithmetic number, because the mean of its divisors is an integer number (2376000).

Almost surely, 2^157391640 is an apocalyptic number.

157391640 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 157391640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304128000).

157391640 is an abundant number, since it is smaller than the sum of its proper divisors (450864360).

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

157391640 is a wasteful number, since it uses less digits than its factorization.

157391640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 157391640 is about 12545.5824894662. The cubic root of 157391640 is about 539.9172712771.

The spelling of 157391640 in words is "one hundred fifty-seven million, three hundred ninety-one thousand, six hundred forty".