132936804 has 432 divisors, whose sum is σ = 501935616. Its totient is φ = 29030400.

The previous prime is 132936781. The next prime is 132936809. The reversal of 132936804 is 408639231.

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 (132936809) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4288269 + ... + 4288299.

It is an arithmetic number, because the mean of its divisors is an integer number (1161888).

Almost surely, 2^132936804 is an apocalyptic number.

132936804 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 132936804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250967808).

132936804 is an abundant number, since it is smaller than the sum of its proper divisors (368998812).

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

132936804 is a wasteful number, since it uses less digits than its factorization.

132936804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 132936804 is about 11529.8223750412. The cubic root of 132936804 is about 510.3660117712.

The spelling of 132936804 in words is "one hundred thirty-two million, nine hundred thirty-six thousand, eight hundred four".