132752019456 has 312 divisors, whose sum is σ = 439766271360. Its totient is φ = 37797101568.

The previous prime is 132752019451. The next prime is 132752019469. The reversal of 132752019456 is 654910257231.

132752019456 is a `hidden beast` number, since 1 + 32 + 7 + 520 + 1 + 94 + 5 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (132752019451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92638516 + ... + 92639948.

It is an arithmetic number, because the mean of its divisors is an integer number (1409507280).

Almost surely, 2^132752019456 is an apocalyptic number.

132752019456 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 132752019456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219883135680).

132752019456 is an abundant number, since it is smaller than the sum of its proper divisors (307014251904).

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

132752019456 is a wasteful number, since it uses less digits than its factorization.

132752019456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1829 (or 1804 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 132752019456 in words is "one hundred thirty-two billion, seven hundred fifty-two million, nineteen thousand, four hundred fifty-six".