132112640 has 108 divisors (see below), whose sum is σ = 348242412. Its totient is φ = 47984640.

The previous prime is 132112637. The next prime is 132112663. The reversal of 132112640 is 46211231.

It can be written as a sum of positive squares in 2 ways, for example, as 24285184 + 107827456 = 4928^2 + 10384^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 154454 + ... + 155306.

Almost surely, 2^132112640 is an apocalyptic number.

132112640 is a gapful number since it is divisible by the number (10) 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 132112640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174121206).

132112640 is an abundant number, since it is smaller than the sum of its proper divisors (216129772).

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

132112640 is an equidigital number, since it uses as much as digits as its factorization.

132112640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896 (or 871 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 132112640 is about 11494.0262745480. The cubic root of 132112640 is about 509.3091247566.

Adding to 132112640 its reverse (46211231), we get a palindrome (178323871).

It can be divided in two parts, 13211 and 2640, that added together give a palindrome (15851).

The spelling of 132112640 in words is "one hundred thirty-two million, one hundred twelve thousand, six hundred forty".