136961945120 has 384 divisors, whose sum is σ = 436306010112. Its totient is φ = 39237120000.

The previous prime is 136961945083. The next prime is 136961945123. The reversal of 136961945120 is 21549169631.

It is a happy number.

It is a super-2 number, since 2×136961945120² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (136961945123) 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 63 ways as a sum of consecutive naturals, for example, 40198457 + ... + 40201863.

It is an arithmetic number, because the mean of its divisors is an integer number (1136213568).

Almost surely, 2^136961945120 is an apocalyptic number.

136961945120 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 136961945120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218153005056).

136961945120 is an abundant number, since it is smaller than the sum of its proper divisors (299344064992).

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

136961945120 is a wasteful number, since it uses less digits than its factorization.

136961945120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3704 (or 3696 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 47.

The spelling of 136961945120 in words is "one hundred thirty-six billion, nine hundred sixty-one million, nine hundred forty-five thousand, one hundred twenty".