137389347840 has 352 divisors, whose sum is σ = 446219798400. Its totient is φ = 36076650496.

The previous prime is 137389347817. The next prime is 137389347841. The reversal of 137389347840 is 48743983731.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137389347841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 395934547 + ... + 395934893.

Almost surely, 2^137389347840 is an apocalyptic number.

137389347840 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 137389347840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223109899200).

137389347840 is an abundant number, since it is smaller than the sum of its proper divisors (308830450560).

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

137389347840 is a wasteful number, since it uses less digits than its factorization.

137389347840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 57.

The spelling of 137389347840 in words is "one hundred thirty-seven billion, three hundred eighty-nine million, three hundred forty-seven thousand, eight hundred forty".