132724689615 has 240 divisors, whose sum is σ = 287929334880. Its totient is φ = 58250949120.

The previous prime is 132724689599. The next prime is 132724689619. The reversal of 132724689615 is 516986427231.

It is a happy number.

132724689615 is a `hidden beast` number, since 13 + 2 + 7 + 2 + 4 + 6 + 8 + 9 + 615 = 666.

It is not a de Polignac number, because 132724689615 - 2⁴ = 132724689599 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132724689619) 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 239 ways as a sum of consecutive naturals, for example, 121431009 + ... + 121432101.

It is an arithmetic number, because the mean of its divisors is an integer number (1199705562).

Almost surely, 2^132724689615 is an apocalyptic number.

132724689615 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

132724689615 is an abundant number, since it is smaller than the sum of its proper divisors (155204645265).

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

132724689615 is a wasteful number, since it uses less digits than its factorization.

132724689615 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1364 (or 1348 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 132724689615 in words is "one hundred thirty-two billion, seven hundred twenty-four million, six hundred eighty-nine thousand, six hundred fifteen".