132404976 has 240 divisors, whose sum is σ = 445284000. Its totient is φ = 37509120.

The previous prime is 132404957. The next prime is 132405001. The reversal of 132404976 is 679404231.

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

It is a self number, because there is not a number n which added to its sum of digits gives 132404976.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 888550 + ... + 888698.

It is an arithmetic number, because the mean of its divisors is an integer number (1855350).

Almost surely, 2^132404976 is an apocalyptic number.

132404976 is a gapful number since it is divisible by the number (16) 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 132404976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222642000).

132404976 is an abundant number, since it is smaller than the sum of its proper divisors (312879024).

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

132404976 is a wasteful number, since it uses less digits than its factorization.

132404976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 132404976 is about 11506.7361141203. The cubic root of 132404976 is about 509.6845107589.

The spelling of 132404976 in words is "one hundred thirty-two million, four hundred four thousand, nine hundred seventy-six".