157992120 has 480 divisors, whose sum is σ = 648869760. Its totient is φ = 34214400.

The previous prime is 157992113. The next prime is 157992181. The reversal of 157992120 is 21299751.

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

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 119 ways as a sum of consecutive naturals, for example, 5096505 + ... + 5096535.

It is an arithmetic number, because the mean of its divisors is an integer number (1351812).

Almost surely, 2^157992120 is an apocalyptic number.

157992120 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 157992120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324434880).

157992120 is an abundant number, since it is smaller than the sum of its proper divisors (490877640).

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

157992120 is a wasteful number, since it uses less digits than its factorization.

157992120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 157992120 is about 12569.4916364983. The cubic root of 157992120 is about 540.6030300359.

The spelling of 157992120 in words is "one hundred fifty-seven million, nine hundred ninety-two thousand, one hundred twenty".