135789979500 has 1152 divisors, whose sum is σ = 537276579840. Its totient is φ = 29295302400.

The previous prime is 135789979487. The next prime is 135789979553. The reversal of 135789979500 is 5979987531.

135789979500 is a `hidden beast` number, since 1 + 3 + 57 + 8 + 9 + 9 + 79 + 500 = 666.

It is a super-2 number, since 2×135789979500² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1718860461 + ... + 1718860539.

It is an arithmetic number, because the mean of its divisors is an integer number (466385920).

Almost surely, 2^135789979500 is an apocalyptic number.

135789979500 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 135789979500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268638289920).

135789979500 is an abundant number, since it is smaller than the sum of its proper divisors (401486600340).

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

135789979500 is a wasteful number, since it uses less digits than its factorization.

135789979500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 21432600, while the sum is 63.

The spelling of 135789979500 in words is "one hundred thirty-five billion, seven hundred eighty-nine million, nine hundred seventy-nine thousand, five hundred".