136556304080700 has 288 divisors, whose sum is σ = 463782185040384. Its totient is φ = 30367179279360.

The previous prime is 136556304080699. The next prime is 136556304080767. The reversal of 136556304080700 is 7080403655631.

It is a super-2 number, since 2×136556304080700² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 136556304080700.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1304297554 + ... + 1304402246.

It is an arithmetic number, because the mean of its divisors is an integer number (1610354809168).

Almost surely, 2^{136556304080700} is an apocalyptic number.

136556304080700 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 136556304080700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231891092520192).

136556304080700 is an abundant number, since it is smaller than the sum of its proper divisors (327225880959684).

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

136556304080700 is a wasteful number, since it uses less digits than its factorization.

136556304080700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121541 (or 121534 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 48.

The spelling of 136556304080700 in words is "one hundred thirty-six trillion, five hundred fifty-six billion, three hundred four million, eighty thousand, seven hundred".