136937646144 has 392 divisors, whose sum is σ = 452972497152. Its totient is φ = 40769879040.

The previous prime is 136937646121. The next prime is 136937646187. The reversal of 136937646144 is 441646739631.

136937646144 is a `hidden beast` number, since 13 + 6 + 9 + 3 + 7 + 6 + 4 + 614 + 4 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 18798727 + ... + 18806009.

Almost surely, 2^136937646144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136937646144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226486248576).

136937646144 is an abundant number, since it is smaller than the sum of its proper divisors (316034851008).

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

136937646144 is an equidigital number, since it uses as much as digits as its factorization.

136937646144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7357 (or 7332 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 54.

The spelling of 136937646144 in words is "one hundred thirty-six billion, nine hundred thirty-seven million, six hundred forty-six thousand, one hundred forty-four".