132512768544 has 96 divisors (see below), whose sum is σ = 376847130240. Its totient is φ = 40528945152.

The previous prime is 132512768527. The next prime is 132512768593. The reversal of 132512768544 is 445867215231.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×132512768544³ (a number of 34 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 132512768493 and 132512768502.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109489 + ... + 526320.

It is an arithmetic number, because the mean of its divisors is an integer number (3925490940).

Almost surely, 2^132512768544 is an apocalyptic number.

It is an amenable number.

132512768544 is an abundant number, since it is smaller than the sum of its proper divisors (244334361696).

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

132512768544 is a wasteful number, since it uses less digits than its factorization.

132512768544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636002 (or 635994 counting only the distinct ones).

The product of its digits is 1612800, while the sum is 48.

The spelling of 132512768544 in words is "one hundred thirty-two billion, five hundred twelve million, seven hundred sixty-eight thousand, five hundred forty-four".