152535120 has 40 divisors (see below), whose sum is σ = 472859616. Its totient is φ = 40675968.

The previous prime is 152535091. The next prime is 152535133. The reversal of 152535120 is 21535251.

It is a happy number.

152535120 is digitally balanced in base 3, 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 (40).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 317542 + ... + 318021.

Almost surely, 2^152535120 is an apocalyptic number.

152535120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152535120 is an abundant number, since it is smaller than the sum of its proper divisors (320324496).

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

152535120 is a wasteful number, since it uses less digits than its factorization.

152535120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635579 (or 635573 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

The square root of 152535120 is about 12350.5109206057. The cubic root of 152535120 is about 534.3058747835.

The spelling of 152535120 in words is "one hundred fifty-two million, five hundred thirty-five thousand, one hundred twenty".