138276837720 has 384 divisors, whose sum is σ = 538168190400. Its totient is φ = 31488694272.

The previous prime is 138276837709. The next prime is 138276837731. The reversal of 138276837720 is 27738672831.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (138276837709) and next prime (138276837731).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14654124 + ... + 14663556.

Almost surely, 2^138276837720 is an apocalyptic number.

138276837720 is a gapful number since it is divisible by the number (10) 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 138276837720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269084095200).

138276837720 is an abundant number, since it is smaller than the sum of its proper divisors (399891352680).

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

138276837720 is a wasteful number, since it uses less digits than its factorization.

138276837720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9744 (or 9727 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 138276837720 in words is "one hundred thirty-eight billion, two hundred seventy-six million, eight hundred thirty-seven thousand, seven hundred twenty".