138972623400 has 1344 divisors, whose sum is σ = 584034494400. Its totient is φ = 30367457280.

The previous prime is 138972623389. The next prime is 138972623411. The reversal of 138972623400 is 4326279831.

138972623400 is a `hidden beast` number, since 1 + 389 + 7 + 262 + 3 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (138972623389) and next prime (138972623411).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 612214087 + ... + 612214313.

It is an arithmetic number, because the mean of its divisors is an integer number (434549475).

Almost surely, 2^138972623400 is an apocalyptic number.

138972623400 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 138972623400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292017247200).

138972623400 is an abundant number, since it is smaller than the sum of its proper divisors (445061871000).

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

138972623400 is a wasteful number, since it uses less digits than its factorization.

138972623400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 138972623400 in words is "one hundred thirty-eight billion, nine hundred seventy-two million, six hundred twenty-three thousand, four hundred".