135879216 has 160 divisors (see below), whose sum is σ = 407973888. Its totient is φ = 38565120.

The previous prime is 135879199. The next prime is 135879221. The reversal of 135879216 is 612978531.

It is a super-2 number, since 2×135879216² = 36926322681549312, which contains 22 as substring.

It is a congruent number.

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, 813565 + ... + 813731.

Almost surely, 2^135879216 is an apocalyptic number.

135879216 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 135879216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203986944).

135879216 is an abundant number, since it is smaller than the sum of its proper divisors (272094672).

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

135879216 is a wasteful number, since it uses less digits than its factorization.

135879216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 273 counting only the distinct ones).

The product of its digits is 90720, while the sum is 42.

The square root of 135879216 is about 11656.7240681076. The cubic root of 135879216 is about 514.1040330033.

The spelling of 135879216 in words is "one hundred thirty-five million, eight hundred seventy-nine thousand, two hundred sixteen".