136397184 has 192 divisors, whose sum is σ = 460468800. Its totient is φ = 35374080.

The previous prime is 136397147. The next prime is 136397197. The reversal of 136397184 is 481793631.

136397184 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 206647 + ... + 207305.

It is an arithmetic number, because the mean of its divisors is an integer number (2398275).

Almost surely, 2^136397184 is an apocalyptic number.

136397184 is a gapful number since it is divisible by the number (14) 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 136397184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230234400).

136397184 is an abundant number, since it is smaller than the sum of its proper divisors (324071616).

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

136397184 is a wasteful number, since it uses less digits than its factorization.

136397184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 682 counting only the distinct ones).

The product of its digits is 108864, while the sum is 42.

The square root of 136397184 is about 11678.9204980597. The cubic root of 136397184 is about 514.7564550528.

The spelling of 136397184 in words is "one hundred thirty-six million, three hundred ninety-seven thousand, one hundred eighty-four".