132385693440 has 1728 divisors, whose sum is σ = 596282351616. Its totient is φ = 24330240000.

The previous prime is 132385693423. The next prime is 132385693441. The reversal of 132385693440 is 44396583231.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 132385693440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132385693441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1310749390 + ... + 1310749490.

Almost surely, 2^132385693440 is an apocalyptic number.

132385693440 is a gapful number since it is divisible by the number (10) 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 132385693440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298141175808).

132385693440 is an abundant number, since it is smaller than the sum of its proper divisors (463896658176).

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

132385693440 is a wasteful number, since it uses less digits than its factorization.

132385693440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 48.

The spelling of 132385693440 in words is "one hundred thirty-two billion, three hundred eighty-five million, six hundred ninety-three thousand, four hundred forty".