132877733520 has 320 divisors, whose sum is σ = 481754880000. Its totient is φ = 30284803584.

The previous prime is 132877733479. The next prime is 132877733543. The reversal of 132877733520 is 25337778231.

It is a super-3 number, since 3×132877733520³ (a number of 34 digits) contains 333 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 132877733520.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31197151 + ... + 31201409.

It is an arithmetic number, because the mean of its divisors is an integer number (1505484000).

Almost surely, 2^132877733520 is an apocalyptic number.

132877733520 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 132877733520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240877440000).

132877733520 is an abundant number, since it is smaller than the sum of its proper divisors (348877146480).

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

132877733520 is a wasteful number, since it uses less digits than its factorization.

132877733520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4675 (or 4655 counting only the distinct ones).

The product of its (nonzero) digits is 1481760, while the sum is 48.

The spelling of 132877733520 in words is "one hundred thirty-two billion, eight hundred seventy-seven million, seven hundred thirty-three thousand, five hundred twenty".