138577000 has 32 divisors (see below), whose sum is σ = 324272520. Its totient is φ = 55430400.

The previous prime is 138576989. The next prime is 138577031. The reversal of 138577000 is 775831.

It can be written as a sum of positive squares in 4 ways, for example, as 47527236 + 91049764 = 6894^2 + 9542^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68289 + ... + 70288.

Almost surely, 2^138577000 is an apocalyptic number.

138577000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138577000 is an abundant number, since it is smaller than the sum of its proper divisors (185695520).

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

138577000 is a wasteful number, since it uses less digits than its factorization.

138577000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138598 (or 138584 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 31.

The square root of 138577000 is about 11771.8732578974. The cubic root of 138577000 is about 517.4841492807.

The spelling of 138577000 in words is "one hundred thirty-eight million, five hundred seventy-seven thousand".