152132904 has 160 divisors (see below), whose sum is σ = 531432000. Its totient is φ = 39502080.

The previous prime is 152132887. The next prime is 152132909. The reversal of 152132904 is 409231251.

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

It is not an unprimeable number, because it can be changed into a prime (152132909) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 48372 + ... + 51420.

It is an arithmetic number, because the mean of its divisors is an integer number (3321450).

Almost surely, 2^152132904 is an apocalyptic number.

152132904 is a gapful number since it is divisible by the number (14) 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 152132904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265716000).

152132904 is an abundant number, since it is smaller than the sum of its proper divisors (379299096).

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

152132904 is a wasteful number, since it uses less digits than its factorization.

152132904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3085 (or 3072 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 152132904 is about 12334.2167971866. The cubic root of 152132904 is about 533.8358288411.

The spelling of 152132904 in words is "one hundred fifty-two million, one hundred thirty-two thousand, nine hundred four".