136830656448 has 336 divisors, whose sum is σ = 434957402880. Its totient is φ = 40906432512.

The previous prime is 136830656441. The next prime is 136830656467. The reversal of 136830656448 is 844656038631.

136830656448 is a `hidden beast` number, since 1 + 3 + 6 + 8 + 30 + 6 + 564 + 48 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 136830656394 and 136830656403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136830656441) 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, 69140323 + ... + 69142301.

It is an arithmetic number, because the mean of its divisors is an integer number (1294516080).

Almost surely, 2^136830656448 is an apocalyptic number.

136830656448 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 136830656448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217478701440).

136830656448 is an abundant number, since it is smaller than the sum of its proper divisors (298126746432).

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

136830656448 is a wasteful number, since it uses less digits than its factorization.

136830656448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2344 (or 2331 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 136830656448 in words is "one hundred thirty-six billion, eight hundred thirty million, six hundred fifty-six thousand, four hundred forty-eight".