138302055936 has 320 divisors, whose sum is σ = 449183750400. Its totient is φ = 41667379200.

The previous prime is 138302055929. The next prime is 138302055943. The reversal of 138302055936 is 639550203831.

It is a happy number.

138302055936 is a `hidden beast` number, since 1 + 3 + 8 + 30 + 20 + 5 + 593 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (138302055929) and next prime (138302055943).

It is a super-2 number, since 2×138302055936² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 138302055891 and 138302055900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27216916 + ... + 27221996.

It is an arithmetic number, because the mean of its divisors is an integer number (1403699220).

Almost surely, 2^138302055936 is an apocalyptic number.

138302055936 is a gapful number since it is divisible by the number (16) 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 138302055936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224591875200).

138302055936 is an abundant number, since it is smaller than the sum of its proper divisors (310881694464).

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

138302055936 is a wasteful number, since it uses less digits than its factorization.

138302055936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5298 (or 5276 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 138302055936 in words is "one hundred thirty-eight billion, three hundred two million, fifty-five thousand, nine hundred thirty-six".