132775320770400 has 576 divisors, whose sum is σ = 547959088373760. Its totient is φ = 27122053171200.

The previous prime is 132775320770383. The next prime is 132775320770423. The reversal of 132775320770400 is 4077023577231.

It is a super-2 number, since 2×132775320770400² (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 132775320770400.

It is a congruent number.

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, 4814377 + ... + 16992023.

It is an arithmetic number, because the mean of its divisors is an integer number (951317861760).

Almost surely, 2^{132775320770400} is an apocalyptic number.

132775320770400 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 132775320770400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273979544186880).

132775320770400 is an abundant number, since it is smaller than the sum of its proper divisors (415183767603360).

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

132775320770400 is a wasteful number, since it uses less digits than its factorization.

132775320770400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12177747 (or 12177734 counting only the distinct ones).

The product of its (nonzero) digits is 1728720, while the sum is 48.

The spelling of 132775320770400 in words is "one hundred thirty-two trillion, seven hundred seventy-five billion, three hundred twenty million, seven hundred seventy thousand, four hundred".