132664323014256 has 320 divisors, whose sum is σ = 397537490972160. Its totient is φ = 37699706880000.

The previous prime is 132664323014221. The next prime is 132664323014261. The reversal of 132664323014256 is 652410323466231.

132664323014256 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 63 ways as a sum of consecutive naturals, for example, 5350865796 + ... + 5350890588.

It is an arithmetic number, because the mean of its divisors is an integer number (1242304659288).

Almost surely, 2^{132664323014256} is an apocalyptic number.

132664323014256 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 132664323014256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198768745486080).

132664323014256 is an abundant number, since it is smaller than the sum of its proper divisors (264873167957904).

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

132664323014256 is a wasteful number, since it uses less digits than its factorization.

132664323014256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30216 (or 30210 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 48.

The spelling of 132664323014256 in words is "one hundred thirty-two trillion, six hundred sixty-four billion, three hundred twenty-three million, fourteen thousand, two hundred fifty-six".