132504631140 has 288 divisors, whose sum is σ = 446230020096. Its totient is φ = 28748828160.

The previous prime is 132504631097. The next prime is 132504631153. The reversal of 132504631140 is 41136405231.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 132504631098 and 132504631107.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36571369 + ... + 36574991.

It is an arithmetic number, because the mean of its divisors is an integer number (1549409792).

Almost surely, 2^132504631140 is an apocalyptic number.

132504631140 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 132504631140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223115010048).

132504631140 is an abundant number, since it is smaller than the sum of its proper divisors (313725388956).

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

132504631140 is a wasteful number, since it uses less digits than its factorization.

132504631140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3779 (or 3724 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 132504631140 in words is "one hundred thirty-two billion, five hundred four million, six hundred thirty-one thousand, one hundred forty".