135388023936 has 256 divisors, whose sum is σ = 417590121600. Its totient is φ = 38409338880.

The previous prime is 135388023923. The next prime is 135388023959. The reversal of 135388023936 is 639320883531.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13854060 + ... + 13863828.

Almost surely, 2^135388023936 is an apocalyptic number.

135388023936 is a gapful number since it is divisible by the number (16) 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 135388023936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208795060800).

135388023936 is an abundant number, since it is smaller than the sum of its proper divisors (282202097664).

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

135388023936 is a wasteful number, since it uses less digits than its factorization.

135388023936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10007 (or 9995 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 51.

The spelling of 135388023936 in words is "one hundred thirty-five billion, three hundred eighty-eight million, twenty-three thousand, nine hundred thirty-six".