136024879052160 has 2304 divisors, whose sum is σ = 582782206406400. Its totient is φ = 29067280220160.

The previous prime is 136024879052143. The next prime is 136024879052177. The reversal of 136024879052160 is 61250978420631.

It is a happy number.

136024879052160 is a `hidden beast` number, since 1 + 3 + 6 + 0 + 2 + 48 + 79 + 0 + 521 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (136024879052143) and next prime (136024879052177).

It is a junction number, because it is equal to n+sod(n) for n = 136024879052097 and 136024879052106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 159466446294 + ... + 159466447146.

It is an arithmetic number, because the mean of its divisors is an integer number (252943665975).

It is a 1-persistent number, because it is pandigital, but 2⋅136024879052160 = 272049758104320 is not.

Almost surely, 2^{136024879052160} is an apocalyptic number.

136024879052160 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 136024879052160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291391103203200).

136024879052160 is an abundant number, since it is smaller than the sum of its proper divisors (446757327354240).

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

136024879052160 is a wasteful number, since it uses less digits than its factorization.

136024879052160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1269 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 136024879052160 in words is "one hundred thirty-six trillion, twenty-four billion, eight hundred seventy-nine million, fifty-two thousand, one hundred sixty".