132971040 has 144 divisors (see below), whose sum is σ = 458535168. Its totient is φ = 35086848.

The previous prime is 132971023. The next prime is 132971051. The reversal of 132971040 is 40179231.

132971040 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 (144).

It is a junction number, because it is equal to n+sod(n) for n = 132970995 and 132971013.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 153649 + ... + 154511.

It is an arithmetic number, because the mean of its divisors is an integer number (3184272).

Almost surely, 2^132971040 is an apocalyptic number.

132971040 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 132971040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229267584).

132971040 is an abundant number, since it is smaller than the sum of its proper divisors (325564128).

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

132971040 is a wasteful number, since it uses less digits than its factorization.

132971040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 132971040 is about 11531.3069510789. The cubic root of 132971040 is about 510.4098205348.

The spelling of 132971040 in words is "one hundred thirty-two million, nine hundred seventy-one thousand, forty".