132707439900 has 648 divisors, whose sum is σ = 512183468160. Its totient is φ = 28576800000.

The previous prime is 132707439871. The next prime is 132707439901. The reversal of 132707439900 is 9934707231.

It is a super-2 number, since 2×132707439900² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132707439901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 210312585 + ... + 210313215.

Almost surely, 2^132707439900 is an apocalyptic number.

132707439900 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 132707439900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256091734080).

132707439900 is an abundant number, since it is smaller than the sum of its proper divisors (379476028260).

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

132707439900 is a wasteful number, since it uses less digits than its factorization.

132707439900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The spelling of 132707439900 in words is "one hundred thirty-two billion, seven hundred seven million, four hundred thirty-nine thousand, nine hundred".