137747580048 has 200 divisors, whose sum is σ = 430490446848. Its totient is φ = 42271227648.

The previous prime is 137747580043. The next prime is 137747580067. The reversal of 137747580048 is 840085747731.

137747580048 is a `hidden beast` number, since 13 + 7 + 7 + 4 + 7 + 580 + 0 + 48 = 666.

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 = 137747579976 and 137747580003.

It is not an unprimeable number, because it can be changed into a prime (137747580043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6442111 + ... + 6463457.

Almost surely, 2^137747580048 is an apocalyptic number.

137747580048 is a gapful number since it is divisible by the number (18) 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 137747580048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215245223424).

137747580048 is an abundant number, since it is smaller than the sum of its proper divisors (292742866800).

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

137747580048 is a wasteful number, since it uses less digits than its factorization.

137747580048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21763 (or 21748 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 54.

The spelling of 137747580048 in words is "one hundred thirty-seven billion, seven hundred forty-seven million, five hundred eighty thousand, forty-eight".