138121200 has 540 divisors, whose sum is σ = 598164840. Its totient is φ = 30481920.

The previous prime is 138121189. The next prime is 138121201. The reversal of 138121200 is 2121831.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138121201) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 4762786 + ... + 4762814.

Almost surely, 2^138121200 is an apocalyptic number.

138121200 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 138121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299082420).

138121200 is an abundant number, since it is smaller than the sum of its proper divisors (460043640).

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

138121200 is a wasteful number, since it uses less digits than its factorization.

138121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 138121200 is about 11752.4976068919. The cubic root of 138121200 is about 516.9161657730.

The spelling of 138121200 in words is "one hundred thirty-eight million, one hundred twenty-one thousand, two hundred".