138127080 has 288 divisors, whose sum is σ = 525722400. Its totient is φ = 28933632.

The previous prime is 138127079. The next prime is 138127081. The reversal of 138127080 is 80721831.

It is a happy number.

138127080 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (138127079) and next prime (138127081).

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

It is not an unprimeable number, because it can be changed into a prime (138127081) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 993651 + ... + 993789.

It is an arithmetic number, because the mean of its divisors is an integer number (1825425).

Almost surely, 2^138127080 is an apocalyptic number.

138127080 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 138127080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262861200).

138127080 is an abundant number, since it is smaller than the sum of its proper divisors (387595320).

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

138127080 is a wasteful number, since it uses less digits than its factorization.

138127080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 138127080 is about 11752.7477638210. The cubic root of 138127080 is about 516.9235009345.

The spelling of 138127080 in words is "one hundred thirty-eight million, one hundred twenty-seven thousand, eighty".