152521312 has 48 divisors (see below), whose sum is σ = 310915584. Its totient is φ = 73600000.

The previous prime is 152521307. The next prime is 152521321. The reversal of 152521312 is 213125251.

It is a super-2 number, since 2×152521312² = 46525501228402688, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 131937 + ... + 133087.

It is an arithmetic number, because the mean of its divisors is an integer number (6477408).

Almost surely, 2^152521312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152521312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155457792).

152521312 is an abundant number, since it is smaller than the sum of its proper divisors (158394272).

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

152521312 is a wasteful number, since it uses less digits than its factorization.

152521312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1303 (or 1295 counting only the distinct ones).

The product of its digits is 600, while the sum is 22.

The square root of 152521312 is about 12349.9519027404. The cubic root of 152521312 is about 534.2897518994.

Adding to 152521312 its reverse (213125251), we get a palindrome (365646563).

It can be divided in two parts, 1525213 and 12, that added together give a square (1525225 = 1235²).

The spelling of 152521312 in words is "one hundred fifty-two million, five hundred twenty-one thousand, three hundred twelve".