120758157 has 48 divisors (see below), whose sum is σ = 201080880. Its totient is φ = 69175296.

The previous prime is 120758153. The next prime is 120758159. The reversal of 120758157 is 751857021.

120758157 is a `hidden beast` number, since 1 + 20 + 7 + 581 + 57 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4247721 + 116510436 = 2061^2 + 10794^2 .

It is not a de Polignac number, because 120758157 - 2² = 120758153 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120758153) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 216523 + ... + 217079.

It is an arithmetic number, because the mean of its divisors is an integer number (4189185).

Almost surely, 2^120758157 is an apocalyptic number.

120758157 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

120758157 is a deficient number, since it is larger than the sum of its proper divisors (80322723).

120758157 is a wasteful number, since it uses less digits than its factorization.

120758157 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 36.

The square root of 120758157 is about 10989.0016380015. The cubic root of 120758157 is about 494.2789992986.

Subtracting from 120758157 its sum of digits (36), we obtain a square (120758121 = 10989²).

The spelling of 120758157 in words is "one hundred twenty million, seven hundred fifty-eight thousand, one hundred fifty-seven".