138855360 has 112 divisors (see below), whose sum is σ = 503870976. Its totient is φ = 31736832.

The previous prime is 138855359. The next prime is 138855361. The reversal of 138855360 is 63558831.

It is an interprime number because it is at equal distance from previous prime (138855359) and next prime (138855361).

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×138855360² = 38561622001459200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138855361) 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, 3612 + ... + 17051.

It is an arithmetic number, because the mean of its divisors is an integer number (4498848).

Almost surely, 2^138855360 is an apocalyptic number.

138855360 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 138855360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251935488).

138855360 is an abundant number, since it is smaller than the sum of its proper divisors (365015616).

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

138855360 is a wasteful number, since it uses less digits than its factorization.

138855360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20690 (or 20680 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The square root of 138855360 is about 11783.6904236321. The cubic root of 138855360 is about 517.8304081504.

The spelling of 138855360 in words is "one hundred thirty-eight million, eight hundred fifty-five thousand, three hundred sixty".