136792224 has 144 divisors (see below), whose sum is σ = 411832512. Its totient is φ = 42983424.

The previous prime is 136792211. The next prime is 136792237. The reversal of 136792224 is 422297631.

136792224 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (136792211) and next prime (136792237).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×136792224² = 37424225093732352, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 708672 + ... + 708864.

It is an arithmetic number, because the mean of its divisors is an integer number (2859948).

Almost surely, 2^136792224 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 136792224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205916256).

136792224 is an abundant number, since it is smaller than the sum of its proper divisors (275040288).

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

136792224 is a wasteful number, since it uses less digits than its factorization.

136792224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 328 counting only the distinct ones).

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

The square root of 136792224 is about 11695.8207920607. The cubic root of 136792224 is about 515.2529300840.

The spelling of 136792224 in words is "one hundred thirty-six million, seven hundred ninety-two thousand, two hundred twenty-four".