138058081600 has 84 divisors (see below), whose sum is σ = 343526478300. Its totient is φ = 54602690560.

The previous prime is 138058081517. The next prime is 138058081613. The reversal of 138058081600 is 6180850831.

It can be written as a sum of positive squares in 6 ways, for example, as 25495147584 + 112562934016 = 159672^2 + 335504^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 342355 + ... + 627154.

Almost surely, 2^138058081600 is an apocalyptic number.

138058081600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138058081600 is an abundant number, since it is smaller than the sum of its proper divisors (205468396700).

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

138058081600 is an equidigital number, since it uses as much as digits as its factorization.

138058081600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969620 (or 969605 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 40.

The spelling of 138058081600 in words is "one hundred thirty-eight billion, fifty-eight million, eighty-one thousand, six hundred".