132306715840 has 224 divisors, whose sum is σ = 357858486720. Its totient is φ = 46188527616.

The previous prime is 132306715819. The next prime is 132306715889. The reversal of 132306715840 is 48517603231.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 132306715793 and 132306715802.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48766324 + ... + 48769036.

It is an arithmetic number, because the mean of its divisors is an integer number (1597582530).

Almost surely, 2^132306715840 is an apocalyptic number.

132306715840 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 132306715840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178929243360).

132306715840 is an abundant number, since it is smaller than the sum of its proper divisors (225551770880).

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

132306715840 is a wasteful number, since it uses less digits than its factorization.

132306715840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3379 (or 3369 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The spelling of 132306715840 in words is "one hundred thirty-two billion, three hundred six million, seven hundred fifteen thousand, eight hundred forty".