157731840 has 352 divisors, whose sum is σ = 644559360. Its totient is φ = 35831808.

The previous prime is 157731823. The next prime is 157731881. The reversal of 157731840 is 48137751.

157731840 is a `hidden beast` number, since 1 + 577 + 3 + 1 + 84 + 0 = 666.

157731840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 157731795 and 157731804.

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, 967599 + ... + 967761.

Almost surely, 2^157731840 is an apocalyptic number.

157731840 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 157731840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322279680).

157731840 is an abundant number, since it is smaller than the sum of its proper divisors (486827520).

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

157731840 is a wasteful number, since it uses less digits than its factorization.

157731840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 157731840 is about 12559.1337280881. The cubic root of 157731840 is about 540.3059994074.

The spelling of 157731840 in words is "one hundred fifty-seven million, seven hundred thirty-one thousand, eight hundred forty".