138884803200 has 1152 divisors, whose sum is σ = 604258200000. Its totient is φ = 31054233600.

The previous prime is 138884803199. The next prime is 138884803207. The reversal of 138884803200 is 2308488831.

138884803200 is a `hidden beast` number, since 138 + 8 + 8 + 480 + 32 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (138884803207) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 111196176 + ... + 111197424.

Almost surely, 2^138884803200 is an apocalyptic number.

138884803200 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 138884803200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302129100000).

138884803200 is an abundant number, since it is smaller than the sum of its proper divisors (465373396800).

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

138884803200 is a wasteful number, since it uses less digits than its factorization.

138884803200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312 (or 1283 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 138884803200 in words is "one hundred thirty-eight billion, eight hundred eighty-four million, eight hundred three thousand, two hundred".