132939970560 has 576 divisors, whose sum is σ = 489387225600. Its totient is φ = 33303232512.

The previous prime is 132939970489. The next prime is 132939970643. The reversal of 132939970560 is 65079939231.

It is a happy number.

132939970560 is a `hidden beast` number, since 1 + 3 + 2 + 9 + 3 + 9 + 9 + 70 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a junction number, because it is equal to n+sod(n) for n = 132939970497 and 132939970506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 125060589 + ... + 125061651.

It is an arithmetic number, because the mean of its divisors is an integer number (849630600).

Almost surely, 2^132939970560 is an apocalyptic number.

132939970560 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 132939970560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244693612800).

132939970560 is an abundant number, since it is smaller than the sum of its proper divisors (356447255040).

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

132939970560 is a wasteful number, since it uses less digits than its factorization.

132939970560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1178 (or 1155 counting only the distinct ones).

The product of its (nonzero) digits is 2755620, while the sum is 54.

The spelling of 132939970560 in words is "one hundred thirty-two billion, nine hundred thirty-nine million, nine hundred seventy thousand, five hundred sixty".