157137120 has 432 divisors, whose sum is σ = 665512848. Its totient is φ = 33546240.

The previous prime is 157137091. The next prime is 157137139. The reversal of 157137120 is 21731751.

It is a happy number.

157137120 is a `hidden beast` number, since 1 + 571 + 3 + 71 + 20 = 666.

157137120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1199455 + ... + 1199585.

It is an arithmetic number, because the mean of its divisors is an integer number (1540539).

Almost surely, 2^157137120 is an apocalyptic number.

157137120 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 157137120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332756424).

157137120 is an abundant number, since it is smaller than the sum of its proper divisors (508375728).

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

157137120 is a wasteful number, since it uses less digits than its factorization.

157137120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 27.

The square root of 157137120 is about 12535.4345756340. The cubic root of 157137120 is about 539.6260785875.

Adding to 157137120 its reverse (21731751), we get a palindrome (178868871).

The spelling of 157137120 in words is "one hundred fifty-seven million, one hundred thirty-seven thousand, one hundred twenty".