138055300 has 72 divisors (see below), whose sum is σ = 319432680. Its totient is φ = 51788800.

The previous prime is 138055289. The next prime is 138055303. The reversal of 138055300 is 3550831.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 20376196 + 117679104 = 4514^2 + 10848^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (138055303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 491160 + ... + 491440.

It is an arithmetic number, because the mean of its divisors is an integer number (4436565).

Almost surely, 2^138055300 is an apocalyptic number.

138055300 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 138055300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159716340).

138055300 is an abundant number, since it is smaller than the sum of its proper divisors (181377380).

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

138055300 is a wasteful number, since it uses less digits than its factorization.

138055300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 138055300 is about 11749.6936130267. The cubic root of 138055300 is about 516.8339428306.

The spelling of 138055300 in words is "one hundred thirty-eight million, fifty-five thousand, three hundred".