132546752263200 has 144 divisors (see below), whose sum is σ = 470661467675616. Its totient is φ = 32132545996800.

The previous prime is 132546752263139. The next prime is 132546752263207. The reversal of 132546752263200 is 2362257645231.

It is a super-2 number, since 2×132546752263200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 132546752263200.

It is not an unprimeable number, because it can be changed into a prime (132546752263207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2510328757 + ... + 2510381556.

It is an arithmetic number, because the mean of its divisors is an integer number (3268482414414).

Almost surely, 2^{132546752263200} is an apocalyptic number.

132546752263200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132546752263200 is an abundant number, since it is smaller than the sum of its proper divisors (338114715412416).

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

132546752263200 is a wasteful number, since it uses less digits than its factorization.

132546752263200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5020710347 (or 5020710334 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 48.

The spelling of 132546752263200 in words is "one hundred thirty-two trillion, five hundred forty-six billion, seven hundred fifty-two million, two hundred sixty-three thousand, two hundred".