132608299824 has 720 divisors, whose sum is σ = 519778232064. Its totient is φ = 31782067200.

The previous prime is 132608299799. The next prime is 132608299847. The reversal of 132608299824 is 428992806231.

132608299824 is a `hidden beast` number, since 1 + 3 + 2 + 608 + 2 + 9 + 9 + 8 + 24 = 666.

It is a super-2 number, since 2×132608299824² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 50593234 + ... + 50595854.

Almost surely, 2^132608299824 is an apocalyptic number.

132608299824 is a gapful number since it is divisible by the number (14) 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 132608299824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259889116032).

132608299824 is an abundant number, since it is smaller than the sum of its proper divisors (387169932240).

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

132608299824 is a wasteful number, since it uses less digits than its factorization.

132608299824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2688 (or 2657 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 132608299824 in words is "one hundred thirty-two billion, six hundred eight million, two hundred ninety-nine thousand, eight hundred twenty-four".