132653536125336 has 160 divisors (see below), whose sum is σ = 372161110134000. Its totient is φ = 44145477218304.

The previous prime is 132653536125301. The next prime is 132653536125359. The reversal of 132653536125336 is 633521635356231.

132653536125336 is a `hidden beast` number, since 1 + 3 + 2 + 6 + 5 + 353 + 6 + 1 + 253 + 36 = 666.

It is a super-2 number, since 2×132653536125336² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1770352320 + ... + 1770427248.

Almost surely, 2^{132653536125336} 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 132653536125336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186080555067000).

132653536125336 is an abundant number, since it is smaller than the sum of its proper divisors (239507574008664).

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

132653536125336 is a wasteful number, since it uses less digits than its factorization.

132653536125336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79383 (or 79370 counting only the distinct ones).

The product of its digits is 26244000, while the sum is 54.

The spelling of 132653536125336 in words is "one hundred thirty-two trillion, six hundred fifty-three billion, five hundred thirty-six million, one hundred twenty-five thousand, three hundred thirty-six".