135953807616 has 288 divisors, whose sum is σ = 446036774400. Its totient is φ = 40498513920.

The previous prime is 135953807573. The next prime is 135953807663. The reversal of 135953807616 is 616708359531.

135953807616 is a `hidden beast` number, since 1 + 3 + 595 + 38 + 0 + 7 + 6 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 4470735 + ... + 4501041.

It is an arithmetic number, because the mean of its divisors is an integer number (1548738800).

Almost surely, 2^135953807616 is an apocalyptic number.

135953807616 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 135953807616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223018387200).

135953807616 is an abundant number, since it is smaller than the sum of its proper divisors (310082966784).

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

135953807616 is a wasteful number, since it uses less digits than its factorization.

135953807616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30402 (or 30382 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 135953807616 in words is "one hundred thirty-five billion, nine hundred fifty-three million, eight hundred seven thousand, six hundred sixteen".