138311280 has 80 divisors (see below), whose sum is σ = 476412960. Its totient is φ = 36882432.

The previous prime is 138311273. The next prime is 138311287. The reversal of 138311280 is 82113831.

138311280 is a `hidden beast` number, since 1 + 383 + 1 + 1 + 280 = 666.

138311280 is digitally balanced in base 2, because in such base 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 (138311273) and next prime (138311287).

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138311287) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29857 + ... + 34176.

It is an arithmetic number, because the mean of its divisors is an integer number (5955162).

Almost surely, 2^138311280 is an apocalyptic number.

138311280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138311280 is an abundant number, since it is smaller than the sum of its proper divisors (338101680).

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

138311280 is a wasteful number, since it uses less digits than its factorization.

138311280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64055 (or 64043 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 138311280 is about 11760.5816182704. The cubic root of 138311280 is about 517.1531807684.

The spelling of 138311280 in words is "one hundred thirty-eight million, three hundred eleven thousand, two hundred eighty".