138041280 has 224 divisors, whose sum is σ = 524865600. Its totient is φ = 33951744.

The previous prime is 138041263. The next prime is 138041291. The reversal of 138041280 is 82140831.

138041280 is a `hidden beast` number, since 1 + 380 + 4 + 1 + 280 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111706 + ... + 112934.

It is an arithmetic number, because the mean of its divisors is an integer number (2343150).

Almost surely, 2^138041280 is an apocalyptic number.

138041280 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 138041280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262432800).

138041280 is an abundant number, since it is smaller than the sum of its proper divisors (386824320).

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

138041280 is a wasteful number, since it uses less digits than its factorization.

138041280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1268 (or 1252 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 138041280 is about 11749.0969865773. The cubic root of 138041280 is about 516.8164468051.

The spelling of 138041280 in words is "one hundred thirty-eight million, forty-one thousand, two hundred eighty".