135904239816 has 256 divisors, whose sum is σ = 390400819200. Its totient is φ = 39171686400.

The previous prime is 135904239811. The next prime is 135904239827. The reversal of 135904239816 is 618932409531.

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

It is not an unprimeable number, because it can be changed into a prime (135904239811) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40433976 + ... + 40437336.

It is an arithmetic number, because the mean of its divisors is an integer number (1525003200).

Almost surely, 2^135904239816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135904239816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195200409600).

135904239816 is an abundant number, since it is smaller than the sum of its proper divisors (254496579384).

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

135904239816 is a wasteful number, since it uses less digits than its factorization.

135904239816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3580 (or 3576 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 51.

The spelling of 135904239816 in words is "one hundred thirty-five billion, nine hundred four million, two hundred thirty-nine thousand, eight hundred sixteen".