136089408 has 112 divisors (see below), whose sum is σ = 443219840. Its totient is φ = 35887104.

The previous prime is 136089407. The next prime is 136089491. The reversal of 136089408 is 804980631.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136089407) 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, 13578 + ... + 21366.

It is an arithmetic number, because the mean of its divisors is an integer number (3957320).

Almost surely, 2^136089408 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 136089408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221609920).

136089408 is an abundant number, since it is smaller than the sum of its proper divisors (307130432).

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

136089408 is a wasteful number, since it uses less digits than its factorization.

136089408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7824 (or 7814 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 136089408 is about 11665.7364962526. The cubic root of 136089408 is about 514.3689861634.

It can be divided in two parts, 13608 and 9408, that multiplied together give a cube (128024064 = 504³).

The spelling of 136089408 in words is "one hundred thirty-six million, eighty-nine thousand, four hundred eight".