137361485568 has 144 divisors (see below), whose sum is σ = 388563418880. Its totient is φ = 42955702272.

The previous prime is 137361485567. The next prime is 137361485593. The reversal of 137361485568 is 865584163731.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137361485563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1457280 + ... + 1548672.

Almost surely, 2^137361485568 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 137361485568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194281709440).

137361485568 is an abundant number, since it is smaller than the sum of its proper divisors (251201933312).

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

137361485568 is a wasteful number, since it uses less digits than its factorization.

137361485568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91534 (or 91520 counting only the distinct ones).

The product of its digits is 14515200, while the sum is 57.

The spelling of 137361485568 in words is "one hundred thirty-seven billion, three hundred sixty-one million, four hundred eighty-five thousand, five hundred sixty-eight".