138776800 has 72 divisors (see below), whose sum is σ = 347134032. Its totient is φ = 54144000.

The previous prime is 138776789. The next prime is 138776819. The reversal of 138776800 is 8677831.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30685 + ... + 34915.

It is an arithmetic number, because the mean of its divisors is an integer number (4821306).

Almost surely, 2^138776800 is an apocalyptic number.

138776800 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 138776800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173567016).

138776800 is an abundant number, since it is smaller than the sum of its proper divisors (208357232).

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

138776800 is a wasteful number, since it uses less digits than its factorization.

138776800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4292 (or 4279 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 40.

The square root of 138776800 is about 11780.3565311072. The cubic root of 138776800 is about 517.7327323357.

It can be divided in two parts, 1387 and 76800, that added together give a palindrome (78187).

The spelling of 138776800 in words is "one hundred thirty-eight million, seven hundred seventy-six thousand, eight hundred".