132623145794304 has 2016 divisors, whose sum is σ = 473839117194240. Its totient is φ = 36569943244800.

The previous prime is 132623145794221. The next prime is 132623145794323. The reversal of 132623145794304 is 403497541326231.

132623145794304 is a `hidden beast` number, since 1 + 3 + 2 + 6 + 2 + 31 + 4 + 579 + 4 + 30 + 4 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 349929144387 + ... + 349929144765.

It is an arithmetic number, because the mean of its divisors is an integer number (235039244640).

Almost surely, 2^{132623145794304} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132623145794304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236919558597120).

132623145794304 is an abundant number, since it is smaller than the sum of its proper divisors (341215971399936).

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

132623145794304 is a wasteful number, since it uses less digits than its factorization.

132623145794304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 132623145794304 in words is "one hundred thirty-two trillion, six hundred twenty-three billion, one hundred forty-five million, seven hundred ninety-four thousand, three hundred four".