138307260 has 192 divisors, whose sum is σ = 484549632. Its totient is φ = 28698624.

The previous prime is 138307259. The next prime is 138307261. The reversal of 138307260 is 62703831.

It is an interprime number because it is at equal distance from previous prime (138307259) and next prime (138307261).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138307261) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 398407 + ... + 398753.

It is an arithmetic number, because the mean of its divisors is an integer number (2523696).

Almost surely, 2^138307260 is an apocalyptic number.

138307260 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 138307260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242274816).

138307260 is an abundant number, since it is smaller than the sum of its proper divisors (346242372).

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

138307260 is a wasteful number, since it uses less digits than its factorization.

138307260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 138307260 is about 11760.4107071139. The cubic root of 138307260 is about 517.1481703891.

The spelling of 138307260 in words is "one hundred thirty-eight million, three hundred seven thousand, two hundred sixty".