138567480 has 64 divisors (see below), whose sum is σ = 418089600. Its totient is φ = 36739200.

The previous prime is 138567469. The next prime is 138567487. The reversal of 138567480 is 84765831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138567487) 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, 18255 + ... + 24705.

It is an arithmetic number, because the mean of its divisors is an integer number (6532650).

Almost surely, 2^138567480 is an apocalyptic number.

138567480 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 138567480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209044800).

138567480 is an abundant number, since it is smaller than the sum of its proper divisors (279522120).

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

138567480 is a wasteful number, since it uses less digits than its factorization.

138567480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6644 (or 6640 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 138567480 is about 11771.4688972957. The cubic root of 138567480 is about 517.4722989210.

The spelling of 138567480 in words is "one hundred thirty-eight million, five hundred sixty-seven thousand, four hundred eighty".