138254412040 has 128 divisors (see below), whose sum is σ = 321226560000. Its totient is φ = 53533849600.

The previous prime is 138254412017. The next prime is 138254412059. The reversal of 138254412040 is 40214452831.

It is a super-2 number, since 2×138254412040² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 138254411987 and 138254412005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37659405 + ... + 37663075.

It is an arithmetic number, because the mean of its divisors is an integer number (2509582500).

Almost surely, 2^138254412040 is an apocalyptic number.

138254412040 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 138254412040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160613280000).

138254412040 is an abundant number, since it is smaller than the sum of its proper divisors (182972147960).

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

138254412040 is a wasteful number, since it uses less digits than its factorization.

138254412040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3991 (or 3987 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 34.

Adding to 138254412040 its reverse (40214452831), we get a palindrome (178468864871).

The spelling of 138254412040 in words is "one hundred thirty-eight billion, two hundred fifty-four million, four hundred twelve thousand, forty".