152325810 has 144 divisors (see below), whose sum is σ = 496333656. Its totient is φ = 32126976.

The previous prime is 152325749. The next prime is 152325821. The reversal of 152325810 is 18523251.

It is a happy number.

152325810 is a `hidden beast` number, since 1 + 52 + 32 + 581 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 106316721 + 46009089 = 10311^2 + 6783^2 .

It is a super-2 number, since 2×152325810² = 46406304784312200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 56002 + ... + 58658.

Almost surely, 2^152325810 is an apocalyptic number.

152325810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 152325810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248166828).

152325810 is an abundant number, since it is smaller than the sum of its proper divisors (344007846).

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

152325810 is a wasteful number, since it uses less digits than its factorization.

152325810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2697 (or 2687 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 152325810 is about 12342.0342731658. The cubic root of 152325810 is about 534.0613698773.

The spelling of 152325810 in words is "one hundred fifty-two million, three hundred twenty-five thousand, eight hundred ten".