138629000 has 32 divisors (see below), whose sum is σ = 324394200. Its totient is φ = 55451200.

The previous prime is 138628979. The next prime is 138629003. The reversal of 138629000 is 926831.

It can be written as a sum of positive squares in 4 ways, for example, as 46430596 + 92198404 = 6814^2 + 9602^2 .

It is not an unprimeable number, because it can be changed into a prime (138629003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68315 + ... + 70314.

Almost surely, 2^138629000 is an apocalyptic number.

138629000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138629000 is an abundant number, since it is smaller than the sum of its proper divisors (185765200).

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

138629000 is a wasteful number, since it uses less digits than its factorization.

138629000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138650 (or 138636 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 138629000 is about 11774.0817051692. The cubic root of 138629000 is about 517.5488685599.

The spelling of 138629000 in words is "one hundred thirty-eight million, six hundred twenty-nine thousand".