132711264 has 96 divisors (see below), whose sum is σ = 442391040. Its totient is φ = 37915776.

The previous prime is 132711259. The next prime is 132711269. The reversal of 132711264 is 462117231.

It is an interprime number because it is at equal distance from previous prime (132711259) and next prime (132711269).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×132711264² = 35224559184955392, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132711269) 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, 4924 + ... + 17019.

It is an arithmetic number, because the mean of its divisors is an integer number (4608240).

Almost surely, 2^132711264 is an apocalyptic number.

132711264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

132711264 is an abundant number, since it is smaller than the sum of its proper divisors (309679776).

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

132711264 is a wasteful number, since it uses less digits than its factorization.

132711264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21969 (or 21955 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 132711264 is about 11520.0374999390. The cubic root of 132711264 is about 510.0772201413.

Adding to 132711264 its reverse (462117231), we get a palindrome (594828495).

It can be divided in two parts, 13271 and 1264, that added together give a triangular number (14535 = T₁₇₀).

The spelling of 132711264 in words is "one hundred thirty-two million, seven hundred eleven thousand, two hundred sixty-four".