138996000 has 576 divisors, whose sum is σ = 601001856. Its totient is φ = 31104000.

The previous prime is 138995999. The next prime is 138996041. The reversal of 138996000 is 699831.

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: 750 × 702 × 264.

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, 10691994 + ... + 10692006.

It is an arithmetic number, because the mean of its divisors is an integer number (1043406).

Almost surely, 2^138996000 is an apocalyptic number.

138996000 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 138996000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300500928).

138996000 is an abundant number, since it is smaller than the sum of its proper divisors (462005856).

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

138996000 is a wasteful number, since it uses less digits than its factorization.

138996000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 34 counting only the distinct ones).

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

The square root of 138996000 is about 11789.6564835452. The cubic root of 138996000 is about 518.0051777681.

The spelling of 138996000 in words is "one hundred thirty-eight million, nine hundred ninety-six thousand".