136509264 has 120 divisors (see below), whose sum is σ = 400469160. Its totient is φ = 43352064.

The previous prime is 136509257. The next prime is 136509271. The reversal of 136509264 is 462905631.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (136509257) and next prime (136509271).

It can be written as a sum of positive squares in 4 ways, for example, as 9000000 + 127509264 = 3000^2 + 11292^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 404904 + ... + 405240.

It is an arithmetic number, because the mean of its divisors is an integer number (3337243).

Almost surely, 2^136509264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136509264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200234580).

136509264 is an abundant number, since it is smaller than the sum of its proper divisors (263959896).

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

136509264 is a wasteful number, since it uses less digits than its factorization.

136509264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 136509264 is about 11683.7179014216. The cubic root of 136509264 is about 514.8974113059.

The spelling of 136509264 in words is "one hundred thirty-six million, five hundred nine thousand, two hundred sixty-four".