138096000 has 384 divisors, whose sum is σ = 570922560. Its totient is φ = 31334400.

The previous prime is 138095983. The next prime is 138096017. The reversal of 138096000 is 690831.

It is an interprime number because it is at equal distance from previous prime (138095983) and next prime (138096017).

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1007932 + ... + 1008068.

Almost surely, 2^138096000 is an apocalyptic number.

138096000 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 138096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285461280).

138096000 is an abundant number, since it is smaller than the sum of its proper divisors (432826560).

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

138096000 is a wasteful number, since it uses less digits than its factorization.

138096000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 138096000 is about 11751.4254454513. The cubic root of 138096000 is about 516.8847270084.

The spelling of 138096000 in words is "one hundred thirty-eight million, ninety-six thousand".