132636701675520 has 2496 divisors, whose sum is σ = 551313078091776. Its totient is φ = 28868015554560.

The previous prime is 132636701675473. The next prime is 132636701675537. The reversal of 132636701675520 is 25576107636231.

132636701675520 is a `hidden beast` number, since 1 + 3 + 2 + 6 + 3 + 6 + 70 + 16 + 7 + 552 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 794231746477 + ... + 794231746643.

It is an arithmetic number, because the mean of its divisors is an integer number (220878637056).

Almost surely, 2^{132636701675520} is an apocalyptic number.

132636701675520 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 132636701675520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275656539045888).

132636701675520 is an abundant number, since it is smaller than the sum of its proper divisors (418676376416256).

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

132636701675520 is a wasteful number, since it uses less digits than its factorization.

132636701675520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 54.

The spelling of 132636701675520 in words is "one hundred thirty-two trillion, six hundred thirty-six billion, seven hundred one million, six hundred seventy-five thousand, five hundred twenty".