138403200 has 192 divisors, whose sum is σ = 491374800. Its totient is φ = 34037760.

The previous prime is 138403183. The next prime is 138403217. The reversal of 138403200 is 2304831.

It is a happy number.

138403200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (138403183) and next prime (138403217).

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124246 + ... + 125354.

Almost surely, 2^138403200 is an apocalyptic number.

138403200 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 138403200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245687400).

138403200 is an abundant number, since it is smaller than the sum of its proper divisors (352971600).

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

138403200 is a wasteful number, since it uses less digits than its factorization.

138403200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1149 (or 1132 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 138403200 is about 11764.4889391762. The cubic root of 138403200 is about 517.2677199766.

The spelling of 138403200 in words is "one hundred thirty-eight million, four hundred three thousand, two hundred".