137065745230848 has 924 divisors, whose sum is σ = 493298851490112. Its totient is φ = 37898049208320.

The previous prime is 137065745230847. The next prime is 137065745230849. The reversal of 137065745230848 is 848032547560731.

It is a happy number.

137065745230848 is a `hidden beast` number, since 1 + 3 + 7 + 0 + 6 + 574 + 52 + 3 + 0 + 8 + 4 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (137065745230847) and next prime (137065745230849).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (137065745230847) 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 83 ways as a sum of consecutive naturals, for example, 1133866986 + ... + 1133987862.

Almost surely, 2^{137065745230848} is an apocalyptic number.

137065745230848 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 137065745230848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246649425745056).

137065745230848 is an abundant number, since it is smaller than the sum of its proper divisors (356233106259264).

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

137065745230848 is an equidigital number, since it uses as much as digits as its factorization.

137065745230848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120960 (or 120920 counting only the distinct ones).

The product of its (nonzero) digits is 135475200, while the sum is 63.

The spelling of 137065745230848 in words is "one hundred thirty-seven trillion, sixty-five billion, seven hundred forty-five million, two hundred thirty thousand, eight hundred forty-eight".