136366272 has 168 divisors, whose sum is σ = 461540352. Its totient is φ = 37670400.

The previous prime is 136366267. The next prime is 136366277. The reversal of 136366272 is 272663631.

136366272 is a `hidden beast` number, since 13 + 636 + 6 + 2 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (136366267) and next prime (136366277).

It is a tau number, because it is divible by the number of its divisors (168).

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.

Its product of digits (54432) is a multiple of the sum of its prime divisors (1134).

It is not an unprimeable number, because it can be changed into a prime (136366277) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 124447 + ... + 125537.

It is an arithmetic number, because the mean of its divisors is an integer number (2747264).

Almost surely, 2^136366272 is an apocalyptic number.

136366272 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 136366272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230770176).

136366272 is an abundant number, since it is smaller than the sum of its proper divisors (325174080).

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

136366272 is a wasteful number, since it uses less digits than its factorization.

136366272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147 (or 1134 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 136366272 is about 11677.5970130845. The cubic root of 136366272 is about 514.7175653111.

The spelling of 136366272 in words is "one hundred thirty-six million, three hundred sixty-six thousand, two hundred seventy-two".