138227760 has 240 divisors, whose sum is σ = 523680768. Its totient is φ = 32371200.

The previous prime is 138227741. The next prime is 138227773. The reversal of 138227760 is 67722831.

138227760 is a `hidden beast` number, since 1 + 382 + 277 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 245239 + ... + 245801.

Almost surely, 2^138227760 is an apocalyptic number.

138227760 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 138227760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261840384).

138227760 is an abundant number, since it is smaller than the sum of its proper divisors (385453008).

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

138227760 is a wasteful number, since it uses less digits than its factorization.

138227760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 138227760 is about 11757.0302372666. The cubic root of 138227760 is about 517.0490645782.

The spelling of 138227760 in words is "one hundred thirty-eight million, two hundred twenty-seven thousand, seven hundred sixty".