152565120 has 256 divisors, whose sum is σ = 552024000. Its totient is φ = 40310784.

The previous prime is 152565113. The next prime is 152565121. The reversal of 152565120 is 21565251.

152565120 is a `hidden beast` number, since 1 + 5 + 2 + 5 + 651 + 2 + 0 = 666.

It is a super-2 number, since 2×152565120² = 46552231681228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152565121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1399626 + ... + 1399734.

Almost surely, 2^152565120 is an apocalyptic number.

152565120 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 152565120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276012000).

152565120 is an abundant number, since it is smaller than the sum of its proper divisors (399458880).

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

152565120 is an frugal number, since it uses more digits than its factorization.

152565120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 152565120 is about 12351.7253855484. The cubic root of 152565120 is about 534.3409008712.

The spelling of 152565120 in words is "one hundred fifty-two million, five hundred sixty-five thousand, one hundred twenty".