136221072 has 80 divisors (see below), whose sum is σ = 381225600. Its totient is φ = 41665536.

The previous prime is 136221067. The next prime is 136221073. The reversal of 136221072 is 270122631.

136221072 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (136221073) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123628 + ... + 124724.

It is an arithmetic number, because the mean of its divisors is an integer number (4765320).

Almost surely, 2^136221072 is an apocalyptic number.

136221072 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 136221072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190612800).

136221072 is an abundant number, since it is smaller than the sum of its proper divisors (245004528).

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

136221072 is a wasteful number, since it uses less digits than its factorization.

136221072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1320 (or 1314 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 136221072 is about 11671.3783247738. The cubic root of 136221072 is about 514.5348135421.

The spelling of 136221072 in words is "one hundred thirty-six million, two hundred twenty-one thousand, seventy-two".