132964416192 has 112 divisors (see below), whose sum is σ = 370457821440. Its totient is φ = 41972861952.

The previous prime is 132964416163. The next prime is 132964416197. The reversal of 132964416192 is 291614469231.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (132964416197) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12970813 + ... + 12981059.

It is an arithmetic number, because the mean of its divisors is an integer number (3307659120).

Almost surely, 2^132964416192 is an apocalyptic number.

132964416192 is a gapful number since it is divisible by the number (12) 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 132964416192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185228910720).

132964416192 is an abundant number, since it is smaller than the sum of its proper divisors (237493405248).

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

132964416192 is a wasteful number, since it uses less digits than its factorization.

132964416192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13838 (or 13828 counting only the distinct ones).

The product of its digits is 559872, while the sum is 48.

The spelling of 132964416192 in words is "one hundred thirty-two billion, nine hundred sixty-four million, four hundred sixteen thousand, one hundred ninety-two".