132987657600 has 1536 divisors, whose sum is σ = 597390336000. Its totient is φ = 28217548800.

The previous prime is 132987657559. The next prime is 132987657631. The reversal of 132987657600 is 6756789231.

132987657600 is a `hidden beast` number, since 1 + 3 + 29 + 8 + 7 + 6 + 5 + 7 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 815875119 + ... + 815875281.

It is an arithmetic number, because the mean of its divisors is an integer number (388926000).

Almost surely, 2^132987657600 is an apocalyptic number.

132987657600 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 132987657600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298695168000).

132987657600 is an abundant number, since it is smaller than the sum of its proper divisors (464402678400).

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

132987657600 is a wasteful number, since it uses less digits than its factorization.

132987657600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 132987657600 in words is "one hundred thirty-two billion, nine hundred eighty-seven million, six hundred fifty-seven thousand, six hundred".