132339507396096 has 1280 divisors, whose sum is σ = 489259949359104. Its totient is φ = 30667161600000.

The previous prime is 132339507396037. The next prime is 132339507396121. The reversal of 132339507396096 is 690693705933231.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 56290729321 + ... + 56290731671.

Almost surely, 2^{132339507396096} is an apocalyptic number.

132339507396096 is a gapful number since it is divisible by the number (16) 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 132339507396096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244629974679552).

132339507396096 is an abundant number, since it is smaller than the sum of its proper divisors (356920441963008).

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

132339507396096 is a wasteful number, since it uses less digits than its factorization.

132339507396096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3615 (or 3599 counting only the distinct ones).

The product of its (nonzero) digits is 148803480, while the sum is 66.

The spelling of 132339507396096 in words is "one hundred thirty-two trillion, three hundred thirty-nine billion, five hundred seven million, three hundred ninety-six thousand, ninety-six".