136413672 has 64 divisors (see below), whose sum is σ = 352944000. Its totient is φ = 43902720.

The previous prime is 136413643. The next prime is 136413677. The reversal of 136413672 is 276314631.

It is not an unprimeable number, because it can be changed into a prime (136413677) 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, 131797 + ... + 132827.

It is an arithmetic number, because the mean of its divisors is an integer number (5514750).

Almost surely, 2^136413672 is an apocalyptic number.

136413672 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 136413672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176472000).

136413672 is an abundant number, since it is smaller than the sum of its proper divisors (216530328).

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

136413672 is a wasteful number, since it uses less digits than its factorization.

136413672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226 (or 1222 counting only the distinct ones).

The product of its digits is 18144, while the sum is 33.

The square root of 136413672 is about 11679.6263638868. The cubic root of 136413672 is about 514.7771958584. Note that the first 3 decimals are identical.

The spelling of 136413672 in words is "one hundred thirty-six million, four hundred thirteen thousand, six hundred seventy-two".