136122664648320 has 2048 divisors, whose sum is σ = 582391561420800. Its totient is φ = 29377304985600.

The previous prime is 136122664648277. The next prime is 136122664648349. The reversal of 136122664648320 is 23846466221631.

136122664648320 is a `hidden beast` number, since 1 + 3 + 6 + 1 + 22 + 66 + 464 + 83 + 20 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 72676274904 + ... + 72676276776.

It is an arithmetic number, because the mean of its divisors is an integer number (284370879600).

Almost surely, 2^{136122664648320} is an apocalyptic number.

136122664648320 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 136122664648320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291195780710400).

136122664648320 is an abundant number, since it is smaller than the sum of its proper divisors (446268896772480).

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

136122664648320 is a wasteful number, since it uses less digits than its factorization.

136122664648320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2255 (or 2237 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 54.

The spelling of 136122664648320 in words is "one hundred thirty-six trillion, one hundred twenty-two billion, six hundred sixty-four million, six hundred forty-eight thousand, three hundred twenty".