138254200 has 192 divisors, whose sum is σ = 402027840. Its totient is φ = 43130880.

The previous prime is 138254177. The next prime is 138254201. The reversal of 138254200 is 2452831.

It is a super-2 number, since 2×138254200² = 38228447635280000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138254201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 880522 + ... + 880678.

It is an arithmetic number, because the mean of its divisors is an integer number (2093895).

Almost surely, 2^138254200 is an apocalyptic number.

138254200 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 138254200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201013920).

138254200 is an abundant number, since it is smaller than the sum of its proper divisors (263773640).

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

138254200 is a wasteful number, since it uses less digits than its factorization.

138254200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 138254200 is about 11758.1546171157. The cubic root of 138254200 is about 517.0820292680.

The spelling of 138254200 in words is "one hundred thirty-eight million, two hundred fifty-four thousand, two hundred".