138135961600 has 768 divisors, whose sum is σ = 450524289600. Its totient is φ = 40768634880.

The previous prime is 138135961489. The next prime is 138135961619. The reversal of 138135961600 is 6169531831.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1267302346 + ... + 1267302454.

Almost surely, 2^138135961600 is an apocalyptic number.

138135961600 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 138135961600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225262144800).

138135961600 is an abundant number, since it is smaller than the sum of its proper divisors (312388328000).

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

138135961600 is a wasteful number, since it uses less digits than its factorization.

138135961600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 43.

The spelling of 138135961600 in words is "one hundred thirty-eight billion, one hundred thirty-five million, nine hundred sixty-one thousand, six hundred".