132480852749784 has 2048 divisors, whose sum is σ = 490145093222400. Its totient is φ = 32170245120000.

The previous prime is 132480852749657. The next prime is 132480852749813. The reversal of 132480852749784 is 487947258084231.

132480852749784 is a `hidden beast` number, since 1 + 3 + 2 + 4 + 8 + 0 + 8 + 52 + 7 + 497 + 84 = 666.

It is a super-2 number, since 2×132480852749784² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 431533722159 + ... + 431533722465.

It is an arithmetic number, because the mean of its divisors is an integer number (239328658800).

Almost surely, 2^{132480852749784} is an apocalyptic number.

132480852749784 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 132480852749784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245072546611200).

132480852749784 is an abundant number, since it is smaller than the sum of its proper divisors (357664240472616).

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

132480852749784 is a wasteful number, since it uses less digits than its factorization.

132480852749784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 867041280, while the sum is 72.

The spelling of 132480852749784 in words is "one hundred thirty-two trillion, four hundred eighty billion, eight hundred fifty-two million, seven hundred forty-nine thousand, seven hundred eighty-four".