152682912 has 144 divisors (see below), whose sum is σ = 456117480. Its totient is φ = 48384000.

The previous prime is 152682869. The next prime is 152682913. The reversal of 152682912 is 219286251.

It can be written as a sum of positive squares in 4 ways, for example, as 126427536 + 26255376 = 11244^2 + 5124^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (152682913) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 843462 + ... + 843642.

Almost surely, 2^152682912 is an apocalyptic number.

152682912 is a gapful number since it is divisible by the number (12) 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 152682912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228058740).

152682912 is an abundant number, since it is smaller than the sum of its proper divisors (303434568).

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

152682912 is a wasteful number, since it uses less digits than its factorization.

152682912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 316 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 152682912 is about 12356.4927062658. The cubic root of 152682912 is about 534.4783829114.

The spelling of 152682912 in words is "one hundred fifty-two million, six hundred eighty-two thousand, nine hundred twelve".