138013200 has 240 divisors, whose sum is σ = 529549440. Its totient is φ = 33937920.

The previous prime is 138013193. The next prime is 138013217. The reversal of 138013200 is 2310831.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 139909 + ... + 140891.

It is an arithmetic number, because the mean of its divisors is an integer number (2206456).

Almost surely, 2^138013200 is an apocalyptic number.

138013200 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 138013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264774720).

138013200 is an abundant number, since it is smaller than the sum of its proper divisors (391536240).

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

138013200 is a wasteful number, since it uses less digits than its factorization.

138013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 138013200 is about 11747.9019403466. The cubic root of 138013200 is about 516.7814012739.

The spelling of 138013200 in words is "one hundred thirty-eight million, thirteen thousand, two hundred".