138571200 has 126 divisors (see below), whose sum is σ = 492565944. Its totient is φ = 36948480.

The previous prime is 138571187. The next prime is 138571207. The reversal of 138571200 is 2175831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138571207) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 9589 + ... + 19211.

Almost surely, 2^138571200 is an apocalyptic number.

138571200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138571200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246282972).

138571200 is an abundant number, since it is smaller than the sum of its proper divisors (353994744).

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

138571200 is a wasteful number, since it uses less digits than its factorization.

138571200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9651 (or 9633 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 138571200 is about 11771.6269054027. The cubic root of 138571200 is about 517.4769295883.

The spelling of 138571200 in words is "one hundred thirty-eight million, five hundred seventy-one thousand, two hundred".