138541320 has 128 divisors (see below), whose sum is σ = 474422400. Its totient is φ = 35935488.

The previous prime is 138541307. The next prime is 138541339. The reversal of 138541320 is 23145831.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38227 + ... + 41693.

It is an arithmetic number, because the mean of its divisors is an integer number (3706425).

Almost surely, 2^138541320 is an apocalyptic number.

138541320 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 138541320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237211200).

138541320 is an abundant number, since it is smaller than the sum of its proper divisors (335881080).

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

138541320 is a wasteful number, since it uses less digits than its factorization.

138541320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3524 (or 3514 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 138541320 is about 11770.3576836050. The cubic root of 138541320 is about 517.4397325321.

The spelling of 138541320 in words is "one hundred thirty-eight million, five hundred forty-one thousand, three hundred twenty".