138353250 has 192 divisors, whose sum is σ = 422233344. Its totient is φ = 29548800.

The previous prime is 138353209. The next prime is 138353251. The reversal of 138353250 is 52353831.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (138353251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1895214 + ... + 1895286.

It is an arithmetic number, because the mean of its divisors is an integer number (2199132).

Almost surely, 2^138353250 is an apocalyptic number.

138353250 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 138353250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211116672).

138353250 is an abundant number, since it is smaller than the sum of its proper divisors (283880094).

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

138353250 is a wasteful number, since it uses less digits than its factorization.

138353250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 138353250 is about 11762.3658334537. The cubic root of 138353250 is about 517.2054848271.

The spelling of 138353250 in words is "one hundred thirty-eight million, three hundred fifty-three thousand, two hundred fifty".