136942272 has 224 divisors, whose sum is σ = 438099200. Its totient is φ = 41803776.

The previous prime is 136942271. The next prime is 136942279. The reversal of 136942272 is 272249631.

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 (136942271) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1411728 + ... + 1411824.

It is an arithmetic number, because the mean of its divisors is an integer number (1955800).

Almost surely, 2^136942272 is an apocalyptic number.

136942272 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 136942272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219049600).

136942272 is an abundant number, since it is smaller than the sum of its proper divisors (301156928).

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

136942272 is a wasteful number, since it uses less digits than its factorization.

136942272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 164 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 136942272 is about 11702.2336329438. The cubic root of 136942272 is about 515.4412556540.

The spelling of 136942272 in words is "one hundred thirty-six million, nine hundred forty-two thousand, two hundred seventy-two".