136948253328 has 240 divisors, whose sum is σ = 403407513600. Its totient is φ = 43318416384.

The previous prime is 136948253293. The next prime is 136948253329. The reversal of 136948253328 is 823352849631.

136948253328 is a `hidden beast` number, since 1 + 3 + 6 + 9 + 4 + 82 + 533 + 28 = 666.

It is not an unprimeable number, because it can be changed into a prime (136948253329) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87394401 + ... + 87395967.

It is an arithmetic number, because the mean of its divisors is an integer number (1680864640).

Almost surely, 2^136948253328 is an apocalyptic number.

136948253328 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 136948253328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201703756800).

136948253328 is an abundant number, since it is smaller than the sum of its proper divisors (266459260272).

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

136948253328 is a wasteful number, since it uses less digits than its factorization.

136948253328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2014 (or 2005 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 54.

The spelling of 136948253328 in words is "one hundred thirty-six billion, nine hundred forty-eight million, two hundred fifty-three thousand, three hundred twenty-eight".