136618272 has 192 divisors, whose sum is σ = 465696000. Its totient is φ = 38949120.

The previous prime is 136618241. The next prime is 136618283. The reversal of 136618272 is 272816631.

136618272 is a `hidden beast` number, since 1 + 36 + 618 + 2 + 7 + 2 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 296122 + ... + 296582.

It is an arithmetic number, because the mean of its divisors is an integer number (2425500).

Almost surely, 2^136618272 is an apocalyptic number.

136618272 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 136618272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232848000).

136618272 is an abundant number, since it is smaller than the sum of its proper divisors (329077728).

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

136618272 is an equidigital number, since it uses as much as digits as its factorization.

136618272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 473 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 136618272 is about 11688.3819239448. The cubic root of 136618272 is about 515.0344300983.

The spelling of 136618272 in words is "one hundred thirty-six million, six hundred eighteen thousand, two hundred seventy-two".