132777957888 has 400 divisors, whose sum is σ = 414024427080. Its totient is φ = 42311614464.

The previous prime is 132777957883. The next prime is 132777957899. The reversal of 132777957888 is 888759777231.

132777957888 is a `hidden beast` number, since 1 + 327 + 77 + 95 + 78 + 88 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 108456931584 + 24321026304 = 329328^2 + 155952^2 .

It is a super-2 number, since 2×132777957888² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (132777957883) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 135903256 + ... + 135904232.

Almost surely, 2^132777957888 is an apocalyptic number.

132777957888 is a gapful number since it is divisible by the number (18) 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 132777957888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207012213540).

132777957888 is an abundant number, since it is smaller than the sum of its proper divisors (281246469192).

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

132777957888 is an equidigital number, since it uses as much as digits as its factorization.

132777957888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1149 (or 1124 counting only the distinct ones).

The product of its digits is 331914240, while the sum is 72.

The spelling of 132777957888 in words is "one hundred thirty-two billion, seven hundred seventy-seven million, nine hundred fifty-seven thousand, eight hundred eighty-eight".