136834242048 has 720 divisors, whose sum is σ = 481169310336. Its totient is φ = 37282775040.

The previous prime is 136834242043. The next prime is 136834242049. The reversal of 136834242048 is 840242438631.

It is a happy number.

136834242048 is a `hidden beast` number, since 1 + 368 + 3 + 4 + 242 + 0 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 136834241994 and 136834242012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136834242043) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 790949290 + ... + 790949462.

Almost surely, 2^136834242048 is an apocalyptic number.

136834242048 is a gapful number since it is divisible by the number (18) 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 136834242048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240584655168).

136834242048 is an abundant number, since it is smaller than the sum of its proper divisors (344335068288).

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

136834242048 is a wasteful number, since it uses less digits than its factorization.

136834242048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 136834242048 in words is "one hundred thirty-six billion, eight hundred thirty-four million, two hundred forty-two thousand, forty-eight".