132985735593984 has 2400 divisors, whose sum is σ = 506439705784320. Its totient is φ = 33846630285312.

The previous prime is 132985735593973. The next prime is 132985735593989. The reversal of 132985735593984 is 489395537589231.

132985735593984 is a `hidden beast` number, since 1 + 3 + 2 + 9 + 8 + 57 + 3 + 559 + 3 + 9 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

Its product of digits (8817984000) is a multiple of the sum of its prime divisors (420).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132985735593989) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 505649184637 + ... + 505649184899.

Almost surely, 2^{132985735593984} is an apocalyptic number.

132985735593984 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 132985735593984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253219852892160).

132985735593984 is an abundant number, since it is smaller than the sum of its proper divisors (373453970190336).

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

132985735593984 is an equidigital number, since it uses as much as digits as its factorization.

132985735593984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 420 counting only the distinct ones).

The product of its digits is 8817984000, while the sum is 81.

The spelling of 132985735593984 in words is "one hundred thirty-two trillion, nine hundred eighty-five billion, seven hundred thirty-five million, five hundred ninety-three thousand, nine hundred eighty-four".