138142522440 has 160 divisors (see below), whose sum is σ = 500028855480. Its totient is φ = 34004302848.

The previous prime is 138142522439. The next prime is 138142522451. The reversal of 138142522440 is 44225241831.

138142522440 is a `hidden beast` number, since 1 + 3 + 8 + 1 + 425 + 224 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 128423323044 + 9719199396 = 358362^2 + 98586^2 .

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 = 138142522395 and 138142522404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1597749 + ... + 1681988.

Almost surely, 2^138142522440 is an apocalyptic number.

138142522440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138142522440 is an abundant number, since it is smaller than the sum of its proper divisors (361886333040).

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

138142522440 is a wasteful number, since it uses less digits than its factorization.

138142522440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3279773 (or 3279760 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 138142522440 in words is "one hundred thirty-eight billion, one hundred forty-two million, five hundred twenty-two thousand, four hundred forty".