136528272 has 60 divisors (see below), whose sum is σ = 383784960. Its totient is φ = 45307584.

The previous prime is 136528229. The next prime is 136528291. The reversal of 136528272 is 272825631.

136528272 is a `hidden beast` number, since 1 + 365 + 28 + 272 = 666.

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 11 ways as a sum of consecutive naturals, for example, 32433 + ... + 36399.

It is an arithmetic number, because the mean of its divisors is an integer number (6396416).

Almost surely, 2^136528272 is an apocalyptic number.

136528272 is a gapful number since it is divisible by the number (12) 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 136528272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191892480).

136528272 is an abundant number, since it is smaller than the sum of its proper divisors (247256688).

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

136528272 is a wasteful number, since it uses less digits than its factorization.

136528272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4220 (or 4211 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 136528272 is about 11684.5313128084. The cubic root of 136528272 is about 514.9213088678.

The spelling of 136528272 in words is "one hundred thirty-six million, five hundred twenty-eight thousand, two hundred seventy-two".