136263296000 has 352 divisors, whose sum is σ = 387712477152. Its totient is φ = 47343206400.

The previous prime is 136263295997. The next prime is 136263296009. The reversal of 136263296000 is 692362631.

It can be written as a sum of positive squares in 16 ways, for example, as 125440638976 + 10822657024 = 354176^2 + 104032^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136263296009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28285592 + ... + 28290408.

It is an arithmetic number, because the mean of its divisors is an integer number (1101455901).

Almost surely, 2^136263296000 is an apocalyptic number.

136263296000 is a gapful number since it is divisible by the number (10) 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 136263296000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193856238576).

136263296000 is an abundant number, since it is smaller than the sum of its proper divisors (251449181152).

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

136263296000 is a wasteful number, since it uses less digits than its factorization.

136263296000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4882 (or 4854 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 38.

The spelling of 136263296000 in words is "one hundred thirty-six billion, two hundred sixty-three million, two hundred ninety-six thousand".