132340871520 has 864 divisors, whose sum is σ = 553542522624. Its totient is φ = 29598566400.

The previous prime is 132340871519. The next prime is 132340871549. The reversal of 132340871520 is 25178043231.

132340871520 is a `hidden beast` number, since 1 + 3 + 23 + 40 + 8 + 71 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×132340871520² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 72277005 + ... + 72278835.

It is an arithmetic number, because the mean of its divisors is an integer number (640674216).

Almost surely, 2^132340871520 is an apocalyptic number.

132340871520 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 132340871520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276771261312).

132340871520 is an abundant number, since it is smaller than the sum of its proper divisors (421201651104).

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

132340871520 is a wasteful number, since it uses less digits than its factorization.

132340871520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1898 (or 1865 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 132340871520 in words is "one hundred thirty-two billion, three hundred forty million, eight hundred seventy-one thousand, five hundred twenty".