136268148269472 has 192 divisors, whose sum is σ = 383476578113664. Its totient is φ = 42219481006080.

The previous prime is 136268148269467. The next prime is 136268148269503. The reversal of 136268148269472 is 274962841862631.

It is a junction number, because it is equal to n+sod(n) for n = 136268148269397 and 136268148269406.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49749447 + ... + 52417017.

It is an arithmetic number, because the mean of its divisors is an integer number (1997273844342).

Almost surely, 2^{136268148269472} is an apocalyptic number.

136268148269472 is a gapful number since it is divisible by the number (12) 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 136268148269472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191738289056832).

136268148269472 is an abundant number, since it is smaller than the sum of its proper divisors (247208429844192).

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

136268148269472 is a wasteful number, since it uses less digits than its factorization.

136268148269472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2667991 (or 2667983 counting only the distinct ones).

The product of its digits is 334430208, while the sum is 69.

The spelling of 136268148269472 in words is "one hundred thirty-six trillion, two hundred sixty-eight billion, one hundred forty-eight million, two hundred sixty-nine thousand, four hundred seventy-two".