137748584064 has 256 divisors, whose sum is σ = 458834906880. Its totient is φ = 35643359232.

The previous prime is 137748584053. The next prime is 137748584131. The reversal of 137748584064 is 460485847731.

It is a junction number, because it is equal to n+sod(n) for n = 137748583995 and 137748584013.

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, 1814844 + ... + 1889220.

It is an arithmetic number, because the mean of its divisors is an integer number (1792323855).

Almost surely, 2^137748584064 is an apocalyptic number.

137748584064 is a gapful number since it is divisible by the number (14) 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 137748584064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229417453440).

137748584064 is an abundant number, since it is smaller than the sum of its proper divisors (321086322816).

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

137748584064 is a wasteful number, since it uses less digits than its factorization.

137748584064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74467 (or 74455 counting only the distinct ones).

The product of its (nonzero) digits is 18063360, while the sum is 57.

The spelling of 137748584064 in words is "one hundred thirty-seven billion, seven hundred forty-eight million, five hundred eighty-four thousand, sixty-four".