138174100 has 72 divisors (see below), whose sum is σ = 312355008. Its totient is φ = 53011200.

The previous prime is 138174083. The next prime is 138174119. The reversal of 138174100 is 1471831.

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 274449 + ... + 274951.

It is an arithmetic number, because the mean of its divisors is an integer number (4338264).

Almost surely, 2^138174100 is an apocalyptic number.

138174100 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 138174100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156177504).

138174100 is an abundant number, since it is smaller than the sum of its proper divisors (174180908).

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

138174100 is a wasteful number, since it uses less digits than its factorization.

138174100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 25.

The square root of 138174100 is about 11754.7479768815. The cubic root of 138174100 is about 516.9821497902.

The spelling of 138174100 in words is "one hundred thirty-eight million, one hundred seventy-four thousand, one hundred".