138195040 has 144 divisors (see below), whose sum is σ = 368559072. Its totient is φ = 48705536.

The previous prime is 138195019. The next prime is 138195047. The reversal of 138195040 is 40591831.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 138194993 and 138195011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138195047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2940297 + ... + 2940343.

It is an arithmetic number, because the mean of its divisors is an integer number (2559438).

Almost surely, 2^138195040 is an apocalyptic number.

138195040 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 138195040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184279536).

138195040 is an abundant number, since it is smaller than the sum of its proper divisors (230364032).

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

138195040 is a wasteful number, since it uses less digits than its factorization.

138195040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

The square root of 138195040 is about 11755.6386470493. The cubic root of 138195040 is about 517.0082643307.

The spelling of 138195040 in words is "one hundred thirty-eight million, one hundred ninety-five thousand, forty".