132131040 has 96 divisors (see below), whose sum is σ = 419198976. Its totient is φ = 34982400.

The previous prime is 132131011. The next prime is 132131059. The reversal of 132131040 is 40131231.

132131040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×132131040² = 34917223462963200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71569 + ... + 73391.

It is an arithmetic number, because the mean of its divisors is an integer number (4366656).

Almost surely, 2^132131040 is an apocalyptic number.

132131040 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 132131040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209599488).

132131040 is an abundant number, since it is smaller than the sum of its proper divisors (287067936).

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

132131040 is a wasteful number, since it uses less digits than its factorization.

132131040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1992 (or 1984 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 132131040 is about 11494.8266624599. The cubic root of 132131040 is about 509.3327683506.

Adding to 132131040 its reverse (40131231), we get a palindrome (172262271).

The spelling of 132131040 in words is "one hundred thirty-two million, one hundred thirty-one thousand, forty".