132306094080 has 144 divisors (see below), whose sum is σ = 458549467740. Its totient is φ = 35281600512.

The previous prime is 132306094061. The next prime is 132306094099. The reversal of 132306094080 is 80490603231.

132306094080 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 0 + 609 + 40 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (132306094061) and next prime (132306094099).

It can be written as a sum of positive squares in 2 ways, for example, as 130084291584 + 2221802496 = 360672^2 + 47136^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×132306094080² (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 an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 625647 + ... + 809966.

Almost surely, 2^132306094080 is an apocalyptic number.

132306094080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132306094080 is an abundant number, since it is smaller than the sum of its proper divisors (326243373660).

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

132306094080 is a wasteful number, since it uses less digits than its factorization.

132306094080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1435646 (or 1435623 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 132306094080 in words is "one hundred thirty-two billion, three hundred six million, ninety-four thousand, eighty".