138782039040 has 704 divisors, whose sum is σ = 519137541120. Its totient is φ = 35115171840.

The previous prime is 138782039029. The next prime is 138782039041. The reversal of 138782039040 is 40930287831.

138782039040 is a `hidden beast` number, since 138 + 78 + 20 + 390 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138782039041) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 219939525 + ... + 219940155.

It is an arithmetic number, because the mean of its divisors is an integer number (737411280).

Almost surely, 2^138782039040 is an apocalyptic number.

138782039040 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 138782039040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259568770560).

138782039040 is an abundant number, since it is smaller than the sum of its proper divisors (380355502080).

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

138782039040 is a wasteful number, since it uses less digits than its factorization.

138782039040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 138782039040 in words is "one hundred thirty-eight billion, seven hundred eighty-two million, thirty-nine thousand, forty".