138271360 has 128 divisors (see below), whose sum is σ = 354715200. Its totient is φ = 51388416.

The previous prime is 138271337. The next prime is 138271361. The reversal of 138271360 is 63172831.

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

It is not an unprimeable number, because it can be changed into a prime (138271361) 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, 1009212 + ... + 1009348.

Almost surely, 2^138271360 is an apocalyptic number.

138271360 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 138271360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177357600).

138271360 is an abundant number, since it is smaller than the sum of its proper divisors (216443840).

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

138271360 is a wasteful number, since it uses less digits than its factorization.

138271360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 138271360 is about 11758.8843008170. The cubic root of 138271360 is about 517.1034216514.

The spelling of 138271360 in words is "one hundred thirty-eight million, two hundred seventy-one thousand, three hundred sixty".