132313251840 has 1216 divisors, whose sum is σ = 579819479040. Its totient is φ = 24914165760.

The previous prime is 132313251809. The next prime is 132313251877. The reversal of 132313251840 is 48152313231.

It is a tau number, because it is divible by the number of its divisors (1216).

It is a super-2 number, since 2×132313251840² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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, 5752750069 + ... + 5752750091.

Almost surely, 2^132313251840 is an apocalyptic number.

132313251840 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 132313251840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289909739520).

132313251840 is an abundant number, since it is smaller than the sum of its proper divisors (447506227200).

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

132313251840 is an equidigital number, since it uses as much as digits as its factorization.

132313251840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 132313251840 in words is "one hundred thirty-two billion, three hundred thirteen million, two hundred fifty-one thousand, eight hundred forty".