136902816 has 72 divisors (see below), whose sum is σ = 396707220. Its totient is φ = 44768256.

The previous prime is 136902797. The next prime is 136902817. The reversal of 136902816 is 618209631.

It can be written as a sum of positive squares in 2 ways, for example, as 134652816 + 2250000 = 11604^2 + 1500^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (136902817) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10780 + ... + 19748.

Almost surely, 2^136902816 is an apocalyptic number.

136902816 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 136902816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198353610).

136902816 is an abundant number, since it is smaller than the sum of its proper divisors (259804404).

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

136902816 is a wasteful number, since it uses less digits than its factorization.

136902816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9038 (or 9027 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 136902816 is about 11700.5476794892. The cubic root of 136902816 is about 515.3917476791.

The spelling of 136902816 in words is "one hundred thirty-six million, nine hundred two thousand, eight hundred sixteen".