132545064960 has 1248 divisors, whose sum is σ = 594029667840. Its totient is φ = 27444510720.

The previous prime is 132545064947. The next prime is 132545064979. The reversal of 132545064960 is 69460545231.

132545064960 is a `hidden beast` number, since 1 + 3 + 2 + 54 + 506 + 4 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 468356979 + ... + 468357261.

Almost surely, 2^132545064960 is an apocalyptic number.

132545064960 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 132545064960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297014833920).

132545064960 is an abundant number, since it is smaller than the sum of its proper divisors (461484602880).

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

132545064960 is a wasteful number, since it uses less digits than its factorization.

132545064960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 132545064960 in words is "one hundred thirty-two billion, five hundred forty-five million, sixty-four thousand, nine hundred sixty".