132296480772480 has 1280 divisors, whose sum is σ = 493432291123200. Its totient is φ = 33755330838528.

The previous prime is 132296480772431. The next prime is 132296480772497. The reversal of 132296480772480 is 84277084692231.

It is a happy number.

132296480772480 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 9 + 6 + 4 + 80 + 7 + 72 + 480 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 19825634424 + ... + 19825641096.

It is an arithmetic number, because the mean of its divisors is an integer number (385493977440).

Almost surely, 2^{132296480772480} is an apocalyptic number.

132296480772480 is a gapful number since it is divisible by the number (10) 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 132296480772480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246716145561600).

132296480772480 is an abundant number, since it is smaller than the sum of its proper divisors (361135810350720).

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

132296480772480 is a wasteful number, since it uses less digits than its factorization.

132296480772480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6933 (or 6912 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 132296480772480 in words is "one hundred thirty-two trillion, two hundred ninety-six billion, four hundred eighty million, seven hundred seventy-two thousand, four hundred eighty".