136096948224 has 224 divisors, whose sum is σ = 410099256000. Its totient is φ = 44592463872.

The previous prime is 136096948223. The next prime is 136096948259. The reversal of 136096948224 is 422849690631.

136096948224 is a `hidden beast` number, since 1 + 3 + 609 + 6 + 9 + 4 + 8 + 2 + 24 = 666.

It is a super-2 number, since 2×136096948224² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (136096948223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13044642 + ... + 13055070.

It is an arithmetic number, because the mean of its divisors is an integer number (1830800250).

Almost surely, 2^136096948224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136096948224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205049628000).

136096948224 is an abundant number, since it is smaller than the sum of its proper divisors (274002307776).

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

136096948224 is an equidigital number, since it uses as much as digits as its factorization.

136096948224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10523 (or 10493 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 136096948224 in words is "one hundred thirty-six billion, ninety-six million, nine hundred forty-eight thousand, two hundred twenty-four".