132775377120 has 384 divisors, whose sum is σ = 482049792000. Its totient is φ = 34092656640.

The previous prime is 132775377089. The next prime is 132775377181. The reversal of 132775377120 is 21773577231.

132775377120 is a `hidden beast` number, since 1 + 3 + 27 + 7 + 537 + 71 + 20 = 666.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53994451 + ... + 53996909.

It is an arithmetic number, because the mean of its divisors is an integer number (1255338000).

Almost surely, 2^132775377120 is an apocalyptic number.

132775377120 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 132775377120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241024896000).

132775377120 is an abundant number, since it is smaller than the sum of its proper divisors (349274414880).

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

132775377120 is a wasteful number, since it uses less digits than its factorization.

132775377120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2943 (or 2929 counting only the distinct ones).

The product of its (nonzero) digits is 432180, while the sum is 45.

The spelling of 132775377120 in words is "one hundred thirty-two billion, seven hundred seventy-five million, three hundred seventy-seven thousand, one hundred twenty".