138576583428829 has 64 divisors (see below), whose sum is σ = 181277011148800. Its totient is φ = 102865945448448.

The previous prime is 138576583428821. The next prime is 138576583428851. The reversal of 138576583428829 is 928824385675831.

It is not a de Polignac number, because 138576583428829 - 2³ = 138576583428821 is a prime.

It is a super-2 number, since 2×138576583428829² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138576583428821) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 119535037 + ... + 120688765.

It is an arithmetic number, because the mean of its divisors is an integer number (2832453299200).

Almost surely, 2^{138576583428829} is an apocalyptic number.

138576583428829 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

138576583428829 is a deficient number, since it is larger than the sum of its proper divisors (42700427719971).

138576583428829 is a wasteful number, since it uses less digits than its factorization.

138576583428829 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1154442.

The product of its digits is 5573836800, while the sum is 79.

The spelling of 138576583428829 in words is "one hundred thirty-eight trillion, five hundred seventy-six billion, five hundred eighty-three million, four hundred twenty-eight thousand, eight hundred twenty-nine".