137730039744 has 224 divisors, whose sum is σ = 405104071680. Its totient is φ = 40945766400.

The previous prime is 137730039737. The next prime is 137730039751. The reversal of 137730039744 is 447930037731.

It is an interprime number because it is at equal distance from previous prime (137730039737) and next prime (137730039751).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 137730039693 and 137730039702.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59648062 + ... + 59650370.

It is an arithmetic number, because the mean of its divisors is an integer number (1808500320).

Almost surely, 2^137730039744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137730039744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202552035840).

137730039744 is an abundant number, since it is smaller than the sum of its proper divisors (267374031936).

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

137730039744 is a wasteful number, since it uses less digits than its factorization.

137730039744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2859 (or 2849 counting only the distinct ones).

The product of its (nonzero) digits is 1333584, while the sum is 48.

The spelling of 137730039744 in words is "one hundred thirty-seven billion, seven hundred thirty million, thirty-nine thousand, seven hundred forty-four".