138081624090 has 64 divisors (see below), whose sum is σ = 345232782720. Its totient is φ = 35314780160.

The previous prime is 138081624089. The next prime is 138081624113. The reversal of 138081624090 is 90426180831.

It is a super-2 number, since 2×138081624090² (a number of 23 digits) contains 22 as substring.

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, 878799 + ... + 1023938.

It is an arithmetic number, because the mean of its divisors is an integer number (5394262230).

Almost surely, 2^138081624090 is an apocalyptic number.

138081624090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

138081624090 is an abundant number, since it is smaller than the sum of its proper divisors (207151158630).

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

138081624090 is a wasteful number, since it uses less digits than its factorization.

138081624090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1902847.

The product of its (nonzero) digits is 82944, while the sum is 42.

The spelling of 138081624090 in words is "one hundred thirty-eight billion, eighty-one million, six hundred twenty-four thousand, ninety".