138065040 has 160 divisors (see below), whose sum is σ = 487468800. Its totient is φ = 35896320.

The previous prime is 138065023. The next prime is 138065063. The reversal of 138065040 is 40560831.

138065040 is a `hidden beast` number, since 1 + 3 + 8 + 0 + 650 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 138064995 and 138065013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87781 + ... + 89339.

It is an arithmetic number, because the mean of its divisors is an integer number (3046680).

Almost surely, 2^138065040 is an apocalyptic number.

138065040 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 138065040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243734400).

138065040 is an abundant number, since it is smaller than the sum of its proper divisors (349403760).

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

138065040 is a wasteful number, since it uses less digits than its factorization.

138065040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1622 (or 1610 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 138065040 is about 11750.1080846093. The cubic root of 138065040 is about 516.8460970042.

The spelling of 138065040 in words is "one hundred thirty-eight million, sixty-five thousand, forty".