138769200 has 150 divisors (see below), whose sum is σ = 498147804. Its totient is φ = 36996480.

The previous prime is 138769199. The next prime is 138769231. The reversal of 138769200 is 2967831.

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 29 ways as a sum of consecutive naturals, for example, 30259 + ... + 34541.

Almost surely, 2^138769200 is an apocalyptic number.

138769200 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 138769200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249073902).

138769200 is an abundant number, since it is smaller than the sum of its proper divisors (359378604).

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

138769200 is a wasteful number, since it uses less digits than its factorization.

138769200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4313 (or 4293 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 138769200 is about 11780.0339558084. The cubic root of 138769200 is about 517.7232810908.

The spelling of 138769200 in words is "one hundred thirty-eight million, seven hundred sixty-nine thousand, two hundred".