136137110526144 has 560 divisors, whose sum is σ = 504093930258688. Its totient is φ = 35368399706112.

The previous prime is 136137110526143. The next prime is 136137110526169. The reversal of 136137110526144 is 441625011731631.

136137110526144 is a `hidden beast` number, since 1 + 3 + 6 + 1 + 3 + 7 + 110 + 526 + 1 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 136137110526144.

It is not an unprimeable number, because it can be changed into a prime (136137110526143) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 29453247 + ... + 33760449.

Almost surely, 2^{136137110526144} is an apocalyptic number.

136137110526144 is a gapful number since it is divisible by the number (14) 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 136137110526144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252046965129344).

136137110526144 is an abundant number, since it is smaller than the sum of its proper divisors (367956819732544).

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

136137110526144 is a wasteful number, since it uses less digits than its factorization.

136137110526144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4307314 (or 4307295 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 136137110526144 in words is "one hundred thirty-six trillion, one hundred thirty-seven billion, one hundred ten million, five hundred twenty-six thousand, one hundred forty-four".