135879914496 has 176 divisors, whose sum is σ = 372191762880. Its totient is φ = 44047073280.

The previous prime is 135879914483. The next prime is 135879914509. The reversal of 135879914496 is 694419978531.

It is an interprime number because it is at equal distance from previous prime (135879914483) and next prime (135879914509).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43703790 + ... + 43706898.

Almost surely, 2^135879914496 is an apocalyptic number.

135879914496 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 135879914496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186095881440).

135879914496 is an abundant number, since it is smaller than the sum of its proper divisors (236311848384).

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

135879914496 is a wasteful number, since it uses less digits than its factorization.

135879914496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3520 (or 3502 counting only the distinct ones).

The product of its digits is 58786560, while the sum is 66.

The spelling of 135879914496 in words is "one hundred thirty-five billion, eight hundred seventy-nine million, nine hundred fourteen thousand, four hundred ninety-six".