132717312000 has 1536 divisors, whose sum is σ = 606725683200. Its totient is φ = 27869184000.

The previous prime is 132717311989. The next prime is 132717312037. The reversal of 132717312000 is 213717231.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-2 number, since 2×132717312000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 628991895 + ... + 628992105.

It is an arithmetic number, because the mean of its divisors is an integer number (395003700).

Almost surely, 2^132717312000 is an apocalyptic number.

132717312000 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 132717312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303362841600).

132717312000 is an abundant number, since it is smaller than the sum of its proper divisors (474008371200).

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

132717312000 is a wasteful number, since it uses less digits than its factorization.

132717312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The spelling of 132717312000 in words is "one hundred thirty-two billion, seven hundred seventeen million, three hundred twelve thousand".