138605350 has 72 divisors (see below), whose sum is σ = 285919200. Its totient is φ = 49944960.

The previous prime is 138605287. The next prime is 138605377. The reversal of 138605350 is 53506831.

It is a super-2 number, since 2×138605350² = 38422886097245000, which contains 22 as substring.

Together with 147313850 it forms an amicable pair .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 396976 + ... + 397324.

It is an arithmetic number, because the mean of its divisors is an integer number (3971100).

Almost surely, 2^138605350 is an apocalyptic number.

138605350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

138605350 is an abundant number, since it is smaller than the sum of its proper divisors (147313850).

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

138605350 is a wasteful number, since it uses less digits than its factorization.

138605350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

The square root of 138605350 is about 11773.0773377227. The cubic root of 138605350 is about 517.5194357408.

The spelling of 138605350 in words is "one hundred thirty-eight million, six hundred five thousand, three hundred fifty".