138461940 has 96 divisors (see below), whose sum is σ = 456140160. Its totient is φ = 34748928.

The previous prime is 138461929. The next prime is 138461941. The reversal of 138461940 is 49164831.

138461940 is a `hidden beast` number, since 1 + 38 + 4 + 619 + 4 + 0 = 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 = 138461895 and 138461904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138461941) 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, 1639 + ... + 16721.

It is an arithmetic number, because the mean of its divisors is an integer number (4751460).

Almost surely, 2^138461940 is an apocalyptic number.

138461940 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 138461940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228070080).

138461940 is an abundant number, since it is smaller than the sum of its proper divisors (317678220).

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

138461940 is a wasteful number, since it uses less digits than its factorization.

138461940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15118 (or 15110 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 138461940 is about 11766.9851703824. The cubic root of 138461940 is about 517.3408878619.

The spelling of 138461940 in words is "one hundred thirty-eight million, four hundred sixty-one thousand, nine hundred forty".