157011120 has 120 divisors (see below), whose sum is σ = 602642976. Its totient is φ = 35887104.

The previous prime is 157011109. The next prime is 157011137. The reversal of 157011120 is 21110751.

It is a happy number.

157011120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 157011093 and 157011102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10537 + ... + 20616.

Almost surely, 2^157011120 is an apocalyptic number.

157011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

157011120 is an abundant number, since it is smaller than the sum of its proper divisors (445631856).

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

157011120 is a wasteful number, since it uses less digits than its factorization.

157011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31179 (or 31170 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 18.

The square root of 157011120 is about 12530.4078145925. The cubic root of 157011120 is about 539.4818074200.

Adding to 157011120 its reverse (21110751), we get a palindrome (178121871).

The spelling of 157011120 in words is "one hundred fifty-seven million, eleven thousand, one hundred twenty".