138165300 has 324 divisors, whose sum is σ = 544780236. Its totient is φ = 29030400.

The previous prime is 138165277. The next prime is 138165311. The reversal of 138165300 is 3561831.

138165300 is a `hidden beast` number, since 1 + 3 + 8 + 1 + 653 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 5731236 + 132434064 = 2394^2 + 11508^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 573180 + ... + 573420.

Almost surely, 2^138165300 is an apocalyptic number.

138165300 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 138165300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272390118).

138165300 is an abundant number, since it is smaller than the sum of its proper divisors (406614936).

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

138165300 is a wasteful number, since it uses less digits than its factorization.

138165300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 138165300 is about 11754.3736540915. The cubic root of 138165300 is about 516.9711744108.

The spelling of 138165300 in words is "one hundred thirty-eight million, one hundred sixty-five thousand, three hundred".