135382666800 has 120 divisors (see below), whose sum is σ = 447665474560. Its totient is φ = 34937452800.

The previous prime is 135382666763. The next prime is 135382666807. The reversal of 135382666800 is 8666283531.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

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 135382666800.

It is not an unprimeable number, because it can be changed into a prime (135382666807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1782460 + ... + 1856859.

Almost surely, 2^135382666800 is an apocalyptic number.

135382666800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135382666800 is an abundant number, since it is smaller than the sum of its proper divisors (312282807760).

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

135382666800 is a wasteful number, since it uses less digits than its factorization.

135382666800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3639371 (or 3639360 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The spelling of 135382666800 in words is "one hundred thirty-five billion, three hundred eighty-two million, six hundred sixty-six thousand, eight hundred".