138269560 has 128 divisors (see below), whose sum is σ = 381749760. Its totient is φ = 44352000.

The previous prime is 138269557. The next prime is 138269563. The reversal of 138269560 is 65962831.

It is an interprime number because it is at equal distance from previous prime (138269557) and next prime (138269563).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138269563) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131035 + ... + 132085.

It is an arithmetic number, because the mean of its divisors is an integer number (2982420).

Almost surely, 2^138269560 is an apocalyptic number.

138269560 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 138269560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190874880).

138269560 is an abundant number, since it is smaller than the sum of its proper divisors (243480200).

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

138269560 is a wasteful number, since it uses less digits than its factorization.

138269560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1109 (or 1105 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The square root of 138269560 is about 11758.8077626943. The cubic root of 138269560 is about 517.1011777782.

The spelling of 138269560 in words is "one hundred thirty-eight million, two hundred sixty-nine thousand, five hundred sixty".