135879117840 has 160 divisors (see below), whose sum is σ = 470454531840. Its totient is φ = 36046577664.

The previous prime is 135879117833. The next prime is 135879117851. The reversal of 135879117840 is 48711978531.

135879117840 is a `hidden beast` number, since 1 + 3 + 587 + 9 + 1 + 17 + 8 + 40 = 666.

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, 253909 + ... + 579851.

It is an arithmetic number, because the mean of its divisors is an integer number (2940340824).

Almost surely, 2^135879117840 is an apocalyptic number.

135879117840 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 135879117840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235227265920).

135879117840 is an abundant number, since it is smaller than the sum of its proper divisors (334575414000).

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

135879117840 is a wasteful number, since it uses less digits than its factorization.

135879117840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326158 (or 326146 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 54.

The spelling of 135879117840 in words is "one hundred thirty-five billion, eight hundred seventy-nine million, one hundred seventeen thousand, eight hundred forty".