135813888000 has 1152 divisors, whose sum is σ = 585516859200. Its totient is φ = 30965760000.

The previous prime is 135813887971. The next prime is 135813888013. The reversal of 135813888000 is 888318531.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 338687800 + ... + 338688200.

Almost surely, 2^135813888000 is an apocalyptic number.

135813888000 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 135813888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292758429600).

135813888000 is an abundant number, since it is smaller than the sum of its proper divisors (449702971200).

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

135813888000 is an equidigital number, since it uses as much as digits as its factorization.

135813888000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 135813888000 in words is "one hundred thirty-five billion, eight hundred thirteen million, eight hundred eighty-eight thousand".