138483800 has 144 divisors (see below), whose sum is σ = 403724160. Its totient is φ = 43787520.

The previous prime is 138483769. The next prime is 138483803. The reversal of 138483800 is 8384831.

138483800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138483803) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 126857 + ... + 127943.

It is an arithmetic number, because the mean of its divisors is an integer number (2803640).

Almost surely, 2^138483800 is an apocalyptic number.

138483800 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 138483800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201862080).

138483800 is an abundant number, since it is smaller than the sum of its proper divisors (265240360).

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

138483800 is a wasteful number, since it uses less digits than its factorization.

138483800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1130 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 138483800 is about 11767.9140037646. The cubic root of 138483800 is about 517.3681118935.

It can be divided in two parts, 1384 and 83800, that added together give a cube (85184 = 44³).

The spelling of 138483800 in words is "one hundred thirty-eight million, four hundred eighty-three thousand, eight hundred".