137836384560 has 360 divisors, whose sum is σ = 558423539856. Its totient is φ = 31505241600.

The previous prime is 137836384547. The next prime is 137836384561. The reversal of 137836384560 is 65483638731.

137836384560 is a `hidden beast` number, since 1 + 3 + 78 + 3 + 6 + 3 + 8 + 4 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a junction number, because it is equal to n+sod(n) for n = 137836384497 and 137836384506.

It is not an unprimeable number, because it can be changed into a prime (137836384561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 880210 + ... + 1024910.

Almost surely, 2^137836384560 is an apocalyptic number.

137836384560 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 137836384560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279211769928).

137836384560 is an abundant number, since it is smaller than the sum of its proper divisors (420587155296).

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

137836384560 is a wasteful number, since it uses less digits than its factorization.

137836384560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144743 (or 144718 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 137836384560 in words is "one hundred thirty-seven billion, eight hundred thirty-six million, three hundred eighty-four thousand, five hundred sixty".