152133120 has 320 divisors, whose sum is σ = 565678080. Its totient is φ = 38707200.

The previous prime is 152133067. The next prime is 152133131. The reversal of 152133120 is 21331251.

It is a tau number, because it is divible by the number of its divisors (320).

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 = 152133093 and 152133102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2142685 + ... + 2142755.

It is an arithmetic number, because the mean of its divisors is an integer number (1767744).

Almost surely, 2^152133120 is an apocalyptic number.

152133120 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 152133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282839040).

152133120 is an abundant number, since it is smaller than the sum of its proper divisors (413544960).

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

152133120 is an equidigital number, since it uses as much as digits as its factorization.

152133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 152133120 is about 12334.2255533130. The cubic root of 152133120 is about 533.8360814897.

Adding to 152133120 its reverse (21331251), we get a palindrome (173464371).

The spelling of 152133120 in words is "one hundred fifty-two million, one hundred thirty-three thousand, one hundred twenty".