138513732 has 48 divisors (see below), whose sum is σ = 369946752. Its totient is φ = 39513600.

The previous prime is 138513731. The next prime is 138513733. The reversal of 138513732 is 237315831.

It is an interprime number because it is at equal distance from previous prime (138513731) and next prime (138513733).

It is a junction number, because it is equal to n+sod(n) for n = 138513693 and 138513702.

It is not an unprimeable number, because it can be changed into a prime (138513731) 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, 100198 + ... + 101570.

It is an arithmetic number, because the mean of its divisors is an integer number (7707224).

Almost surely, 2^138513732 is an apocalyptic number.

138513732 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

138513732 is an abundant number, since it is smaller than the sum of its proper divisors (231433020).

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

138513732 is a wasteful number, since it uses less digits than its factorization.

138513732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2588 (or 2586 counting only the distinct ones).

The product of its digits is 15120, while the sum is 33.

The square root of 138513732 is about 11769.1856982546. The cubic root of 138513732 is about 517.4053839951.

The spelling of 138513732 in words is "one hundred thirty-eight million, five hundred thirteen thousand, seven hundred thirty-two".