138552210 has 96 divisors (see below), whose sum is σ = 384791472. Its totient is φ = 34467840.

The previous prime is 138552203. The next prime is 138552217. The reversal of 138552210 is 12255831.

It is a happy number.

138552210 is a `hidden beast` number, since 138 + 5 + 522 + 1 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (138552203) and next prime (138552217).

It can be written as a sum of positive squares in 8 ways, for example, as 105822369 + 32729841 = 10287^2 + 5721^2 .

It is not an unprimeable number, because it can be changed into a prime (138552217) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 209280 + ... + 209940.

Almost surely, 2^138552210 is an apocalyptic number.

138552210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 138552210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192395736).

138552210 is an abundant number, since it is smaller than the sum of its proper divisors (246239262).

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

138552210 is a wasteful number, since it uses less digits than its factorization.

138552210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 138552210 is about 11770.8202772789. The cubic root of 138552210 is about 517.4532899099.

The spelling of 138552210 in words is "one hundred thirty-eight million, five hundred fifty-two thousand, two hundred ten".