132127257600 has 792 divisors, whose sum is σ = 526272760832. Its totient is φ = 31452364800.

The previous prime is 132127257551. The next prime is 132127257641. The reversal of 132127257600 is 6752721231.

132127257600 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 27 + 25 + 7 + 600 = 666.

It is a super-2 number, since 2×132127257600² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 92850489 + ... + 92851911.

Almost surely, 2^132127257600 is an apocalyptic number.

132127257600 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 132127257600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263136380416).

132127257600 is an abundant number, since it is smaller than the sum of its proper divisors (394145503232).

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

132127257600 is a wasteful number, since it uses less digits than its factorization.

132127257600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1503 (or 1477 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

Adding to 132127257600 its reverse (6752721231), we get a palindrome (138879978831).

The spelling of 132127257600 in words is "one hundred thirty-two billion, one hundred twenty-seven million, two hundred fifty-seven thousand, six hundred".