132920688 has 160 divisors (see below), whose sum is σ = 388100160. Its totient is φ = 38993920.

The previous prime is 132920677. The next prime is 132920693. The reversal of 132920688 is 886029231.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 970156 + ... + 970292.

It is an arithmetic number, because the mean of its divisors is an integer number (2425626).

Almost surely, 2^132920688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132920688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194050080).

132920688 is an abundant number, since it is smaller than the sum of its proper divisors (255179472).

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

132920688 is a wasteful number, since it uses less digits than its factorization.

132920688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 132920688 is about 11529.1234705853. The cubic root of 132920688 is about 510.3453869561.

The spelling of 132920688 in words is "one hundred thirty-two million, nine hundred twenty thousand, six hundred eighty-eight".