136042816 has 168 divisors, whose sum is σ = 350251776. Its totient is φ = 51932160.

The previous prime is 136042801. The next prime is 136042853. The reversal of 136042816 is 618240631.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1916061 + ... + 1916131.

It is an arithmetic number, because the mean of its divisors is an integer number (2084832).

Almost surely, 2^136042816 is an apocalyptic number.

136042816 is a gapful number since it is divisible by the number (16) 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 136042816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175125888).

136042816 is an abundant number, since it is smaller than the sum of its proper divisors (214208960).

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

136042816 is a wasteful number, since it uses less digits than its factorization.

136042816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 136042816 is about 11663.7393660867. The cubic root of 136042816 is about 514.3102791323.

The spelling of 136042816 in words is "one hundred thirty-six million, forty-two thousand, eight hundred sixteen".