138054000 has 320 divisors, whose sum is σ = 538536960. Its totient is φ = 29721600.

The previous prime is 138053999. The next prime is 138054017. The reversal of 138054000 is 450831.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 63 ways as a sum of consecutive naturals, for example, 797914 + ... + 798086.

It is an arithmetic number, because the mean of its divisors is an integer number (1682928).

Almost surely, 2^138054000 is an apocalyptic number.

138054000 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 138054000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269268480).

138054000 is an abundant number, since it is smaller than the sum of its proper divisors (400482960).

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

138054000 is a wasteful number, since it uses less digits than its factorization.

138054000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 138054000 is about 11749.6382923050. The cubic root of 138054000 is about 516.8323205671.

The spelling of 138054000 in words is "one hundred thirty-eight million, fifty-four thousand".