152153120 has 48 divisors (see below), whose sum is σ = 410816448. Its totient is φ = 52166400.

The previous prime is 152153117. The next prime is 152153129. The reversal of 152153120 is 21351251.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 152153092 and 152153101.

It is not an unprimeable number, because it can be changed into a prime (152153129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66806 + ... + 69045.

It is an arithmetic number, because the mean of its divisors is an integer number (8558676).

Almost surely, 2^152153120 is an apocalyptic number.

152153120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152153120 is an abundant number, since it is smaller than the sum of its proper divisors (258663328).

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

152153120 is a wasteful number, since it uses less digits than its factorization.

152153120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135873 (or 135865 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

The square root of 152153120 is about 12335.0362788279. The cubic root of 152153120 is about 533.8594738402.

The spelling of 152153120 in words is "one hundred fifty-two million, one hundred fifty-three thousand, one hundred twenty".