132852842496 has 768 divisors, whose sum is σ = 464396738400. Its totient is φ = 37371248640.

The previous prime is 132852842483. The next prime is 132852842497. The reversal of 132852842496 is 694248258231.

132852842496 is a `hidden beast` number, since 1 + 3 + 2 + 8 + 528 + 4 + 24 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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 (132852842497) 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, 1819901916 + ... + 1819901988.

Almost surely, 2^132852842496 is an apocalyptic number.

132852842496 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 132852842496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232198369200).

132852842496 is an abundant number, since it is smaller than the sum of its proper divisors (331543895904).

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

132852842496 is an equidigital number, since it uses as much as digits as its factorization.

132852842496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 106 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 54.

The spelling of 132852842496 in words is "one hundred thirty-two billion, eight hundred fifty-two million, eight hundred forty-two thousand, four hundred ninety-six".