132503904 has 192 divisors, whose sum is σ = 426746880. Its totient is φ = 39744000.

The previous prime is 132503887. The next prime is 132503947. The reversal of 132503904 is 409305231.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 527779 + ... + 528029.

It is an arithmetic number, because the mean of its divisors is an integer number (2222640).

Almost surely, 2^132503904 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 132503904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213373440).

132503904 is an abundant number, since it is smaller than the sum of its proper divisors (294242976).

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

132503904 is a wasteful number, since it uses less digits than its factorization.

132503904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 132503904 is about 11511.0340108958. The cubic root of 132503904 is about 509.8114181663.

The spelling of 132503904 in words is "one hundred thirty-two million, five hundred three thousand, nine hundred four".