132075548640 has 864 divisors, whose sum is σ = 561047497920. Its totient is φ = 28110716928.

The previous prime is 132075548609. The next prime is 132075548653. The reversal of 132075548640 is 46845570231.

132075548640 is a `hidden beast` number, since 1 + 32 + 0 + 7 + 554 + 8 + 64 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

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, 123550026 + ... + 123551094.

It is an arithmetic number, because the mean of its divisors is an integer number (649360530).

Almost surely, 2^132075548640 is an apocalyptic number.

132075548640 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 132075548640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280523748960).

132075548640 is an abundant number, since it is smaller than the sum of its proper divisors (428971949280).

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

132075548640 is a wasteful number, since it uses less digits than its factorization.

132075548640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1224 (or 1206 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 132075548640 in words is "one hundred thirty-two billion, seventy-five million, five hundred forty-eight thousand, six hundred forty".