138560940 has 144 divisors (see below), whose sum is σ = 483292992. Its totient is φ = 31477248.

The previous prime is 138560881. The next prime is 138560941. The reversal of 138560940 is 49065831.

138560940 is a `hidden beast` number, since 1 + 3 + 8 + 5 + 609 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 138560895 and 138560904.

It is not an unprimeable number, because it can be changed into a prime (138560941) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 348822 + ... + 349218.

Almost surely, 2^138560940 is an apocalyptic number.

138560940 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 138560940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241646496).

138560940 is an abundant number, since it is smaller than the sum of its proper divisors (344732052).

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

138560940 is a wasteful number, since it uses less digits than its factorization.

138560940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 138560940 is about 11771.1911037074. The cubic root of 138560940 is about 517.4641577080.

The spelling of 138560940 in words is "one hundred thirty-eight million, five hundred sixty thousand, nine hundred forty".