138690970200 has 480 divisors, whose sum is σ = 506312080560. Its totient is φ = 35141299200.

The previous prime is 138690970189. The next prime is 138690970207. The reversal of 138690970200 is 2079096831.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138690970207) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 25771510 + ... + 25776890.

Almost surely, 2^138690970200 is an apocalyptic number.

138690970200 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 138690970200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253156040280).

138690970200 is an abundant number, since it is smaller than the sum of its proper divisors (367621110360).

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

138690970200 is a wasteful number, since it uses less digits than its factorization.

138690970200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5489 (or 5471 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 138690970200 in words is "one hundred thirty-eight billion, six hundred ninety million, nine hundred seventy thousand, two hundred".