138996000000 has 1512 divisors, whose sum is σ = 610317812832. Its totient is φ = 31104000000.

The previous prime is 138995999977. The next prime is 138996000023. The reversal of 138996000000 is 699831.

It is an interprime number because it is at equal distance from previous prime (138995999977) and next prime (138996000023).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 7500 × 7020 × 2640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 10691999994 + ... + 10692000006.

Almost surely, 2^138996000000 is an apocalyptic number.

138996000000 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 138996000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305158906416).

138996000000 is an abundant number, since it is smaller than the sum of its proper divisors (471321812832).

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

138996000000 is an frugal number, since it uses more digits than its factorization.

138996000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

Adding to 138996000000 its reverse (699831), we get a palindrome (138996699831).

The spelling of 138996000000 in words is "one hundred thirty-eight billion, nine hundred ninety-six million", and thus it is an aban number.