132710688 has 144 divisors (see below), whose sum is σ = 415842336. Its totient is φ = 39813120.

The previous prime is 132710681. The next prime is 132710689. The reversal of 132710688 is 886017231.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×132710688² = 35224253418866688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (132710681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 516256 + ... + 516512.

It is an arithmetic number, because the mean of its divisors is an integer number (2887794).

Almost surely, 2^132710688 is an apocalyptic number.

132710688 is a gapful number since it is divisible by the number (18) 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 132710688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207921168).

132710688 is an abundant number, since it is smaller than the sum of its proper divisors (283131648).

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

132710688 is a wasteful number, since it uses less digits than its factorization.

132710688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 132710688 is about 11520.0124999932. The cubic root of 132710688 is about 510.0764821861.

The spelling of 132710688 in words is "one hundred thirty-two million, seven hundred ten thousand, six hundred eighty-eight".