137005097760 has 480 divisors, whose sum is σ = 507230760960. Its totient is φ = 34785220608.

The previous prime is 137005097707. The next prime is 137005097813. The reversal of 137005097760 is 67790500731.

137005097760 is a `hidden beast` number, since 1 + 3 + 70 + 0 + 509 + 7 + 76 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (137005097707) and next prime (137005097813).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 22534401 + ... + 22540479.

It is an arithmetic number, because the mean of its divisors is an integer number (1056730752).

Almost surely, 2^137005097760 is an apocalyptic number.

137005097760 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 137005097760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253615380480).

137005097760 is an abundant number, since it is smaller than the sum of its proper divisors (370225663200).

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

137005097760 is a wasteful number, since it uses less digits than its factorization.

137005097760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6190 (or 6173 counting only the distinct ones).

The product of its (nonzero) digits is 277830, while the sum is 45.

The spelling of 137005097760 in words is "one hundred thirty-seven billion, five million, ninety-seven thousand, seven hundred sixty".