137638902648 has 128 divisors (see below), whose sum is σ = 373582540800. Its totient is φ = 42007044096.

The previous prime is 137638902641. The next prime is 137638902683. The reversal of 137638902648 is 846209836731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137638902641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21614361 + ... + 21620727.

It is an arithmetic number, because the mean of its divisors is an integer number (2918613600).

Almost surely, 2^137638902648 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 137638902648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186791270400).

137638902648 is an abundant number, since it is smaller than the sum of its proper divisors (235943638152).

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

137638902648 is a wasteful number, since it uses less digits than its factorization.

137638902648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6941 (or 6937 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 57.

The spelling of 137638902648 in words is "one hundred thirty-seven billion, six hundred thirty-eight million, nine hundred two thousand, six hundred forty-eight".