138537832356 has 192 divisors, whose sum is σ = 448260341760. Its totient is φ = 35946789120.

The previous prime is 138537832333. The next prime is 138537832373. The reversal of 138537832356 is 653238735831.

138537832356 is a `hidden beast` number, since 1 + 3 + 8 + 537 + 83 + 23 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8582365 + ... + 8598491.

It is an arithmetic number, because the mean of its divisors is an integer number (2334689280).

Almost surely, 2^138537832356 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138537832356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224130170880).

138537832356 is an abundant number, since it is smaller than the sum of its proper divisors (309722509404).

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

138537832356 is a wasteful number, since it uses less digits than its factorization.

138537832356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17191 (or 17183 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 54.

The spelling of 138537832356 in words is "one hundred thirty-eight billion, five hundred thirty-seven million, eight hundred thirty-two thousand, three hundred fifty-six".