138507239412 has 192 divisors, whose sum is σ = 369280128000. Its totient is φ = 44883072000.

The previous prime is 138507239347. The next prime is 138507239417. The reversal of 138507239412 is 214932705831.

It is a happy number.

138507239412 is a `hidden beast` number, since 1 + 38 + 507 + 23 + 94 + 1 + 2 = 666.

It is a super-2 number, since 2×138507239412² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138507239417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 184430037 + ... + 184430787.

It is an arithmetic number, because the mean of its divisors is an integer number (1923334000).

Almost surely, 2^138507239412 is an apocalyptic number.

138507239412 is a gapful number since it is divisible by the number (12) 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 138507239412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184640064000).

138507239412 is an abundant number, since it is smaller than the sum of its proper divisors (230772888588).

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

138507239412 is a wasteful number, since it uses less digits than its factorization.

138507239412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143 (or 1135 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 138507239412 in words is "one hundred thirty-eight billion, five hundred seven million, two hundred thirty-nine thousand, four hundred twelve".