157911840 has 72 divisors (see below), whose sum is σ = 538879068. Its totient is φ = 42109440.

The previous prime is 157911833. The next prime is 157911889. The reversal of 157911840 is 48119751.

157911840 is a `hidden beast` number, since 1 + 579 + 1 + 1 + 84 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 144865296 + 13046544 = 12036^2 + 3612^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×157911840² = 49872298424371200, which contains 22 as substring.

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 = 157911795 and 157911804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53391 + ... + 56270.

Almost surely, 2^157911840 is an apocalyptic number.

157911840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

157911840 is an abundant number, since it is smaller than the sum of its proper divisors (380967228).

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

157911840 is a wasteful number, since it uses less digits than its factorization.

157911840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109682 (or 109671 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

The square root of 157911840 is about 12566.2977841527. The cubic root of 157911840 is about 540.5114495948.

The spelling of 157911840 in words is "one hundred fifty-seven million, nine hundred eleven thousand, eight hundred forty".