132079415664 has 160 divisors (see below), whose sum is σ = 413069276160. Its totient is φ = 35501469696.

The previous prime is 132079415659. The next prime is 132079415707. The reversal of 132079415664 is 466514970231.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 19354557 + ... + 19361379.

It is an arithmetic number, because the mean of its divisors is an integer number (2581682976).

Almost surely, 2^132079415664 is an apocalyptic number.

132079415664 is a gapful number since it is divisible by the number (14) 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 132079415664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206534638080).

132079415664 is an abundant number, since it is smaller than the sum of its proper divisors (280989860496).

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

132079415664 is a wasteful number, since it uses less digits than its factorization.

132079415664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10247 (or 10241 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 132079415664 in words is "one hundred thirty-two billion, seventy-nine million, four hundred fifteen thousand, six hundred sixty-four".