136948476336 has 240 divisors, whose sum is σ = 433881336960. Its totient is φ = 37010856960.

The previous prime is 136948476323. The next prime is 136948476377. The reversal of 136948476336 is 633674849631.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 136948476336.

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, 34005555 + ... + 34009581.

It is an arithmetic number, because the mean of its divisors is an integer number (1807838904).

Almost surely, 2^136948476336 is an apocalyptic number.

136948476336 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 136948476336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216940668480).

136948476336 is an abundant number, since it is smaller than the sum of its proper divisors (296932860624).

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

136948476336 is a wasteful number, since it uses less digits than its factorization.

136948476336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4832 (or 4819 counting only the distinct ones).

The product of its digits is 47029248, while the sum is 60.

The spelling of 136948476336 in words is "one hundred thirty-six billion, nine hundred forty-eight million, four hundred seventy-six thousand, three hundred thirty-six".