132704148960 has 384 divisors, whose sum is σ = 477346867200. Its totient is φ = 34411991040.

The previous prime is 132704148893. The next prime is 132704148971. The reversal of 132704148960 is 69841407231.

132704148960 is a `hidden beast` number, since 1 + 3 + 2 + 70 + 41 + 489 + 60 = 666.

It is a super-2 number, since 2×132704148960² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63585037 + ... + 63587123.

It is an arithmetic number, because the mean of its divisors is an integer number (1243090800).

Almost surely, 2^132704148960 is an apocalyptic number.

132704148960 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 132704148960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238673433600).

132704148960 is an abundant number, since it is smaller than the sum of its proper divisors (344642718240).

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

132704148960 is a wasteful number, since it uses less digits than its factorization.

132704148960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2511 (or 2497 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 132704148960 in words is "one hundred thirty-two billion, seven hundred four million, one hundred forty-eight thousand, nine hundred sixty".