152115120 has 60 divisors (see below), whose sum is σ = 510855696. Its totient is φ = 40563840.

The previous prime is 152115107. The next prime is 152115163. The reversal of 152115120 is 21511251.

152115120 is a `hidden beast` number, since 152 + 1 + 1 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×152115120² = 46278019465228800, which contains 22 as substring.

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 = 152115093 and 152115102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 104916 + ... + 106355.

Almost surely, 2^152115120 is an apocalyptic number.

152115120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152115120 is an abundant number, since it is smaller than the sum of its proper divisors (358740576).

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

152115120 is a wasteful number, since it uses less digits than its factorization.

152115120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211290 (or 211281 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 18.

The square root of 152115120 is about 12333.4958547850. The cubic root of 152115120 is about 533.8150266213.

Adding to 152115120 its reverse (21511251), we get a palindrome (173626371).

It can be divided in two parts, 1521 and 15120, that added together give a square (16641 = 129²).

The spelling of 152115120 in words is "one hundred fifty-two million, one hundred fifteen thousand, one hundred twenty".