157990656 has 72 divisors (see below), whose sum is σ = 445256784. Its totient is φ = 49561600.

The previous prime is 157990649. The next prime is 157990661. The reversal of 157990656 is 656099751.

It is a super-2 number, since 2×157990656² = 49922094766620672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7006 + ... + 19106.

It is an arithmetic number, because the mean of its divisors is an integer number (6184122).

Almost surely, 2^157990656 is an apocalyptic number.

157990656 is a gapful number since it is divisible by the number (16) 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 157990656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222628392).

157990656 is an abundant number, since it is smaller than the sum of its proper divisors (287266128).

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

157990656 is a wasteful number, since it uses less digits than its factorization.

157990656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12137 (or 12123 counting only the distinct ones).

The product of its (nonzero) digits is 510300, while the sum is 48.

The square root of 157990656 is about 12569.4334001179. The cubic root of 157990656 is about 540.6013602369.

It can be divided in two parts, 1579 and 90656, that added together give a triangular number (92235 = T₄₂₉).

The spelling of 157990656 in words is "one hundred fifty-seven million, nine hundred ninety thousand, six hundred fifty-six".