136803744 has 288 divisors, whose sum is σ = 503193600. Its totient is φ = 34214400.

The previous prime is 136803739. The next prime is 136803761. The reversal of 136803744 is 447308631.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 136803699 and 136803708.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 687357 + ... + 687555.

It is an arithmetic number, because the mean of its divisors is an integer number (1747200).

Almost surely, 2^136803744 is an apocalyptic number.

136803744 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 136803744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251596800).

136803744 is an abundant number, since it is smaller than the sum of its proper divisors (366389856).

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

136803744 is a wasteful number, since it uses less digits than its factorization.

136803744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 136803744 is about 11696.3132652986. The cubic root of 136803744 is about 515.2673937403.

It can be divided in two parts, 13680 and 3744, that added together give a square (17424 = 132²).

The spelling of 136803744 in words is "one hundred thirty-six million, eight hundred three thousand, seven hundred forty-four".