138480800 has 144 divisors (see below), whose sum is σ = 359976960. Its totient is φ = 51932160.

The previous prime is 138480787. The next prime is 138480803. The reversal of 138480800 is 8084831.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (138480803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1090337 + ... + 1090463.

It is an arithmetic number, because the mean of its divisors is an integer number (2499840).

Almost surely, 2^138480800 is an apocalyptic number.

138480800 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 138480800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179988480).

138480800 is an abundant number, since it is smaller than the sum of its proper divisors (221496160).

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

138480800 is a wasteful number, since it uses less digits than its factorization.

138480800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 138480800 is about 11767.7865378328. The cubic root of 138480800 is about 517.3643759198.

The spelling of 138480800 in words is "one hundred thirty-eight million, four hundred eighty thousand, eight hundred".