135179838720 has 216 divisors, whose sum is σ = 470811624192. Its totient is φ = 35808768000.

The previous prime is 135179838701. The next prime is 135179838751. The reversal of 135179838720 is 27838971531.

It is a happy number.

135179838720 is a `hidden beast` number, since 1 + 3 + 517 + 98 + 38 + 7 + 2 + 0 = 666.

It is a super-2 number, since 2×135179838720² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1700665 + ... + 1778375.

Almost surely, 2^135179838720 is an apocalyptic number.

135179838720 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 135179838720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235405812096).

135179838720 is an abundant number, since it is smaller than the sum of its proper divisors (335631785472).

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

135179838720 is a wasteful number, since it uses less digits than its factorization.

135179838720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77889 (or 77872 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 135179838720 in words is "one hundred thirty-five billion, one hundred seventy-nine million, eight hundred thirty-eight thousand, seven hundred twenty".