138168000 has 336 divisors, whose sum is σ = 525414240. Its totient is φ = 34560000.

The previous prime is 138167983. The next prime is 138168067. The reversal of 138168000 is 861831.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1367950 + ... + 1368050.

Almost surely, 2^138168000 is an apocalyptic number.

138168000 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 138168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262707120).

138168000 is an abundant number, since it is smaller than the sum of its proper divisors (387246240).

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

138168000 is a wasteful number, since it uses less digits than its factorization.

138168000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 138168000 is about 11754.4885043969. The cubic root of 138168000 is about 516.9745419063.

The spelling of 138168000 in words is "one hundred thirty-eight million, one hundred sixty-eight thousand".