138724829000 has 64 divisors (see below), whose sum is σ = 327767955840. Its totient is φ = 54951153600.

The previous prime is 138724828967. The next prime is 138724829017. The reversal of 138724829000 is 928427831.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 570422 + ... + 776421.

It is an arithmetic number, because the mean of its divisors is an integer number (5121374310).

Almost surely, 2^138724829000 is an apocalyptic number.

138724829000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138724829000 is an abundant number, since it is smaller than the sum of its proper divisors (189043126840).

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

138724829000 is a wasteful number, since it uses less digits than its factorization.

138724829000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346967 (or 1346953 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 44.

The spelling of 138724829000 in words is "one hundred thirty-eight billion, seven hundred twenty-four million, eight hundred twenty-nine thousand".