132799811012352 has 432 divisors, whose sum is σ = 447850198118400. Its totient is φ = 38492687185920.

The previous prime is 132799811012333. The next prime is 132799811012357. The reversal of 132799811012352 is 253210118997231.

132799811012352 is a `hidden beast` number, since 1 + 3 + 27 + 99 + 81 + 101 + 2 + 352 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132799811012357) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38570049 + ... + 41871807.

Almost surely, 2^{132799811012352} is an apocalyptic number.

132799811012352 is a gapful number since it is divisible by the number (12) 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 132799811012352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223925099059200).

132799811012352 is an abundant number, since it is smaller than the sum of its proper divisors (315050387106048).

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

132799811012352 is a wasteful number, since it uses less digits than its factorization.

132799811012352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3301841 (or 3301798 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 132799811012352 in words is "one hundred thirty-two trillion, seven hundred ninety-nine billion, eight hundred eleven million, twelve thousand, three hundred fifty-two".