136935216 has 180 divisors, whose sum is σ = 437367840. Its totient is φ = 39916800.

The previous prime is 136935193. The next prime is 136935229. The reversal of 136935216 is 612539631.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 505161 + ... + 505431.

Almost surely, 2^136935216 is an apocalyptic number.

136935216 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 136935216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218683920).

136935216 is an abundant number, since it is smaller than the sum of its proper divisors (300432624).

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

136935216 is a wasteful number, since it uses less digits than its factorization.

136935216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 316 counting only the distinct ones).

The product of its digits is 29160, while the sum is 36.

The square root of 136935216 is about 11701.9321481540. The cubic root of 136935216 is about 515.4324027363.

It can be divided in two parts, 1369 and 35216, that added together give a triangular number (36585 = T₂₇₀).

The spelling of 136935216 in words is "one hundred thirty-six million, nine hundred thirty-five thousand, two hundred sixteen".