136142322360320 has 112 divisors (see below), whose sum is σ = 326762994052080. Its totient is φ = 54450034704384.

The previous prime is 136142322360307. The next prime is 136142322360323. The reversal of 136142322360320 is 23063223241631.

It is a super-2 number, since 2×136142322360320² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136142322360323) 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 7 ways as a sum of consecutive naturals, for example, 329644511 + ... + 330057249.

Almost surely, 2^{136142322360320} is an apocalyptic number.

136142322360320 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 136142322360320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163381497026040).

136142322360320 is an abundant number, since it is smaller than the sum of its proper divisors (190620671691760).

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

136142322360320 is an frugal number, since it uses more digits than its factorization.

136142322360320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420823 (or 420799 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 38.

The spelling of 136142322360320 in words is "one hundred thirty-six trillion, one hundred forty-two billion, three hundred twenty-two million, three hundred sixty thousand, three hundred twenty".