132127535475936 has 864 divisors, whose sum is σ = 507494552947200. Its totient is φ = 31664212070400.

The previous prime is 132127535475889. The next prime is 132127535475953. The reversal of 132127535475936 is 639574535721231.

132127535475936 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 2 + 7 + 5 + 3 + 547 + 59 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9552992541 + ... + 9553006371.

It is an arithmetic number, because the mean of its divisors is an integer number (587377954800).

Almost surely, 2^{132127535475936} is an apocalyptic number.

132127535475936 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 132127535475936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253747276473600).

132127535475936 is an abundant number, since it is smaller than the sum of its proper divisors (375367017471264).

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

132127535475936 is a wasteful number, since it uses less digits than its factorization.

132127535475936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16440 (or 16416 counting only the distinct ones).

The product of its digits is 142884000, while the sum is 63.

The spelling of 132127535475936 in words is "one hundred thirty-two trillion, one hundred twenty-seven billion, five hundred thirty-five million, four hundred seventy-five thousand, nine hundred thirty-six".