138334080 has 128 divisors (see below), whose sum is σ = 445658400. Its totient is φ = 36495360.

The previous prime is 138334069. The next prime is 138334103. The reversal of 138334080 is 80433831.

138334080 = T₃₁₁ + T₃₁₂ + ... + T₉₅₀.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 15 ways as a sum of consecutive naturals, for example, 208950 + ... + 209610.

Almost surely, 2^138334080 is an apocalyptic number.

138334080 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 138334080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222829200).

138334080 is an abundant number, since it is smaller than the sum of its proper divisors (307324320).

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

138334080 is a wasteful number, since it uses less digits than its factorization.

138334080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 138334080 is about 11761.5509181400. The cubic root of 138334080 is about 517.1815960085.

The spelling of 138334080 in words is "one hundred thirty-eight million, three hundred thirty-four thousand, eighty".