132104831040 has 1568 divisors, whose sum is σ = 596998348800. Its totient is φ = 27653197824.

The previous prime is 132104830997. The next prime is 132104831041. The reversal of 132104831040 is 40138401231.

132104831040 is a `hidden beast` number, since 132 + 1 + 0 + 483 + 10 + 40 = 666.

132104831040 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 (1568).

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

It is a junction number, because it is equal to n+sod(n) for n = 132104830995 and 132104831013.

It is not an unprimeable number, because it can be changed into a prime (132104831041) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1040195457 + ... + 1040195583.

Almost surely, 2^132104831040 is an apocalyptic number.

132104831040 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 132104831040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298499174400).

132104831040 is an abundant number, since it is smaller than the sum of its proper divisors (464893517760).

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

132104831040 is an equidigital number, since it uses as much as digits as its factorization.

132104831040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 132104831040 in words is "one hundred thirty-two billion, one hundred four million, eight hundred thirty-one thousand, forty".