132629904 has 240 divisors, whose sum is σ = 435162624. Its totient is φ = 37324800.

The previous prime is 132629881. The next prime is 132629909. The reversal of 132629904 is 409926231.

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 (132629909) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1816812 + ... + 1816884.

Almost surely, 2^132629904 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 132629904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217581312).

132629904 is an abundant number, since it is smaller than the sum of its proper divisors (302532720).

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

132629904 is a wasteful number, since it uses less digits than its factorization.

132629904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 132629904 is about 11516.5057200524. The cubic root of 132629904 is about 509.9729628112.

It can be divided in two parts, 132 and 629904, that added together give a palindrome (630036).

The spelling of 132629904 in words is "one hundred thirty-two million, six hundred twenty-nine thousand, nine hundred four".