138227400 has 144 divisors (see below), whose sum is σ = 475789860. Its totient is φ = 35942400.

The previous prime is 138227399. The next prime is 138227407. The reversal of 138227400 is 4722831.

138227400 is a `hidden beast` number, since 1 + 38 + 227 + 400 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 352836 + 137874564 = 594^2 + 11742^2 .

It is a super-2 number, since 2×138227400² = 38213628221520000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (138227407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 72864 + ... + 74736.

Almost surely, 2^138227400 is an apocalyptic number.

138227400 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 138227400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237894930).

138227400 is an abundant number, since it is smaller than the sum of its proper divisors (337562460).

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

138227400 is a wasteful number, since it uses less digits than its factorization.

138227400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1936 (or 1924 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 138227400 is about 11757.0149272679. The cubic root of 138227400 is about 517.0486157107.

It can be divided in two parts, 1382 and 27400, that added together give a palindrome (28782).

The spelling of 138227400 in words is "one hundred thirty-eight million, two hundred twenty-seven thousand, four hundred".