138468600 has 144 divisors (see below), whose sum is σ = 476104200. Its totient is φ = 36046080.

The previous prime is 138468581. The next prime is 138468611. The reversal of 138468600 is 6864831.

It is a happy number.

138468600 is a `hidden beast` number, since 1 + 3 + 8 + 46 + 8 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 76506 + ... + 78294.

Almost surely, 2^138468600 is an apocalyptic number.

138468600 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 138468600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238052100).

138468600 is an abundant number, since it is smaller than the sum of its proper divisors (337635600).

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

138468600 is a wasteful number, since it uses less digits than its factorization.

138468600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1854 (or 1842 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 138468600 is about 11767.2681621522. The cubic root of 138468600 is about 517.3491824038.

The spelling of 138468600 in words is "one hundred thirty-eight million, four hundred sixty-eight thousand, six hundred".