138737544 has 128 divisors (see below), whose sum is σ = 421977600. Its totient is φ = 37463040.

The previous prime is 138737513. The next prime is 138737567. The reversal of 138737544 is 445737831.

It is a super-2 number, since 2×138737544² = 38496212230303872, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 138737496 and 138737505.

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, 84459 + ... + 86085.

It is an arithmetic number, because the mean of its divisors is an integer number (3296700).

Almost surely, 2^138737544 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 138737544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210988800).

138737544 is an abundant number, since it is smaller than the sum of its proper divisors (283240056).

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

138737544 is a wasteful number, since it uses less digits than its factorization.

138737544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1683 (or 1679 counting only the distinct ones).

The product of its digits is 282240, while the sum is 42.

The square root of 138737544 is about 11778.6902497689. The cubic root of 138737544 is about 517.6839104558.

The spelling of 138737544 in words is "one hundred thirty-eight million, seven hundred thirty-seven thousand, five hundred forty-four".