152093312 has 64 divisors (see below), whose sum is σ = 348432000. Its totient is φ = 64779264.

The previous prime is 152093311. The next prime is 152093321. The reversal of 152093312 is 213390251.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152093311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 177878 + ... + 178730.

It is an arithmetic number, because the mean of its divisors is an integer number (5444250).

Almost surely, 2^152093312 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 152093312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174216000).

152093312 is an abundant number, since it is smaller than the sum of its proper divisors (196338688).

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

152093312 is an equidigital number, since it uses as much as digits as its factorization.

152093312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 26.

The square root of 152093312 is about 12332.6117266376. The cubic root of 152093312 is about 533.7895152532.

The spelling of 152093312 in words is "one hundred fifty-two million, ninety-three thousand, three hundred twelve".