138129400 has 48 divisors (see below), whose sum is σ = 321966000. Its totient is φ = 55111680.

The previous prime is 138129389. The next prime is 138129419. The reversal of 138129400 is 4921831.

It is a happy number.

It is a super-2 number, since 2×138129400² = 38159462288720000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 119224 + ... + 120376.

It is an arithmetic number, because the mean of its divisors is an integer number (6707625).

Almost surely, 2^138129400 is an apocalyptic number.

138129400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138129400 is an abundant number, since it is smaller than the sum of its proper divisors (183836600).

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

138129400 is a wasteful number, since it uses less digits than its factorization.

138129400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1768 (or 1759 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 138129400 is about 11752.8464637295. The cubic root of 138129400 is about 516.9263950226.

The spelling of 138129400 in words is "one hundred thirty-eight million, one hundred twenty-nine thousand, four hundred".