132612120576 has 504 divisors, whose sum is σ = 430285733280. Its totient is φ = 39289356288.

The previous prime is 132612120467. The next prime is 132612120601. The reversal of 132612120576 is 675021216231.

132612120576 is a `hidden beast` number, since 1 + 3 + 2 + 61 + 2 + 1 + 20 + 576 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 132612120576.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 361340745 + ... + 361341111.

Almost surely, 2^132612120576 is an apocalyptic number.

132612120576 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 132612120576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215142866640).

132612120576 is an abundant number, since it is smaller than the sum of its proper divisors (297673612704).

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

132612120576 is a wasteful number, since it uses less digits than its factorization.

132612120576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 132612120576 in words is "one hundred thirty-two billion, six hundred twelve million, one hundred twenty thousand, five hundred seventy-six".