137487938304 has 144 divisors (see below), whose sum is σ = 394146514944. Its totient is φ = 42422476800.

The previous prime is 137487938303. The next prime is 137487938351. The reversal of 137487938304 is 403839784731.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (137487938303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 422044 + ... + 673124.

It is an arithmetic number, because the mean of its divisors is an integer number (2737128576).

Almost surely, 2^137487938304 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 137487938304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197073257472).

137487938304 is an abundant number, since it is smaller than the sum of its proper divisors (256658576640).

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

137487938304 is a wasteful number, since it uses less digits than its factorization.

137487938304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251154 (or 251140 counting only the distinct ones).

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

The spelling of 137487938304 in words is "one hundred thirty-seven billion, four hundred eighty-seven million, nine hundred thirty-eight thousand, three hundred four".