132807024313614 has 64 divisors (see below), whose sum is σ = 351952362593280. Its totient is φ = 36295087387680.

The previous prime is 132807024313609. The next prime is 132807024313619. The reversal of 132807024313614 is 416313420708231.

It is a happy number.

132807024313614 is a `hidden beast` number, since 1 + 3 + 2 + 8 + 0 + 7 + 0 + 24 + 3 + 1 + 3 + 614 = 666.

It is an interprime number because it is at equal distance from previous prime (132807024313609) and next prime (132807024313619).

It is a super-3 number, since 3×132807024313614³ (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 132807024313614.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132807024313619) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7637846397 + ... + 7637863784.

It is an arithmetic number, because the mean of its divisors is an integer number (5499255665520).

Almost surely, 2^{132807024313614} is an apocalyptic number.

132807024313614 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

132807024313614 is an abundant number, since it is smaller than the sum of its proper divisors (219145338279666).

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

132807024313614 is a wasteful number, since it uses less digits than its factorization.

132807024313614 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15275710222 (or 15275710216 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 132807024313614 in words is "one hundred thirty-two trillion, eight hundred seven billion, twenty-four million, three hundred thirteen thousand, six hundred fourteen".