135579015936 has 432 divisors, whose sum is σ = 494148642624. Its totient is φ = 34788704256.

The previous prime is 135579015919. The next prime is 135579015937. The reversal of 135579015936 is 639510975531.

135579015936 is a `hidden beast` number, since 1 + 3 + 557 + 9 + 0 + 1 + 59 + 36 = 666.

It is not an unprimeable number, because it can be changed into a prime (135579015937) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7748830 + ... + 7766306.

Almost surely, 2^135579015936 is an apocalyptic number.

135579015936 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 135579015936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247074321312).

135579015936 is an abundant number, since it is smaller than the sum of its proper divisors (358569626688).

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

135579015936 is a wasteful number, since it uses less digits than its factorization.

135579015936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17556 (or 17539 counting only the distinct ones).

The product of its (nonzero) digits is 3827250, while the sum is 54.

The spelling of 135579015936 in words is "one hundred thirty-five billion, five hundred seventy-nine million, fifteen thousand, nine hundred thirty-six".