138739200 has 120 divisors (see below), whose sum is σ = 458443128. Its totient is φ = 36986880.

The previous prime is 138739189. The next prime is 138739241. The reversal of 138739200 is 2937831.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36594 + ... + 40206.

Almost surely, 2^138739200 is an apocalyptic number.

138739200 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 138739200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229221564).

138739200 is an abundant number, since it is smaller than the sum of its proper divisors (319703928).

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

138739200 is an equidigital number, since it uses as much as digits as its factorization.

138739200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3644 (or 3623 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 138739200 is about 11778.7605459997. The cubic root of 138739200 is about 517.6859701750.

The spelling of 138739200 in words is "one hundred thirty-eight million, seven hundred thirty-nine thousand, two hundred".