132871296 has 64 divisors (see below), whose sum is σ = 354715200. Its totient is φ = 44067840.

The previous prime is 132871289. The next prime is 132871309. The reversal of 132871296 is 692178231.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×132871296³ (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87181 + ... + 88691.

It is an arithmetic number, because the mean of its divisors is an integer number (5542425).

Almost surely, 2^132871296 is an apocalyptic number.

132871296 is a gapful number since it is divisible by the number (16) 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 132871296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177357600).

132871296 is an abundant number, since it is smaller than the sum of its proper divisors (221843904).

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

132871296 is a wasteful number, since it uses less digits than its factorization.

132871296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1757 (or 1745 counting only the distinct ones).

The product of its digits is 36288, while the sum is 39.

The square root of 132871296 is about 11526.9812179946. The cubic root of 132871296 is about 510.2821660419.

The spelling of 132871296 in words is "one hundred thirty-two million, eight hundred seventy-one thousand, two hundred ninety-six".