132826711346784 has 576 divisors, whose sum is σ = 466889308913664. Its totient is φ = 34881141362688.

The previous prime is 132826711346753. The next prime is 132826711346803. The reversal of 132826711346784 is 487643117628231.

132826711346784 is a `hidden beast` number, since 1 + 3 + 2 + 8 + 26 + 71 + 1 + 3 + 467 + 84 = 666.

It is a hoax number, since the sum of its digits (63) 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 (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6153077239 + ... + 6153098825.

It is an arithmetic number, because the mean of its divisors is an integer number (810571716864).

Almost surely, 2^{132826711346784} is an apocalyptic number.

132826711346784 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 132826711346784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233444654456832).

132826711346784 is an abundant number, since it is smaller than the sum of its proper divisors (334062597566880).

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

132826711346784 is a wasteful number, since it uses less digits than its factorization.

132826711346784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22619 (or 22608 counting only the distinct ones).

The product of its digits is 65028096, while the sum is 63.

The spelling of 132826711346784 in words is "one hundred thirty-two trillion, eight hundred twenty-six billion, seven hundred eleven million, three hundred forty-six thousand, seven hundred eighty-four".