138395537280 has 2304 divisors, whose sum is σ = 682632437760. Its totient is φ = 26336378880.

The previous prime is 138395537243. The next prime is 138395537297. The reversal of 138395537280 is 82735593831.

138395537280 is a `hidden beast` number, since 1 + 3 + 8 + 3 + 9 + 553 + 7 + 2 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1089728577 + ... + 1089728703.

It is an arithmetic number, because the mean of its divisors is an integer number (296281440).

Almost surely, 2^138395537280 is an apocalyptic number.

138395537280 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 138395537280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341316218880).

138395537280 is an abundant number, since it is smaller than the sum of its proper divisors (544236900480).

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

138395537280 is a wasteful number, since it uses less digits than its factorization.

138395537280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 138395537280 in words is "one hundred thirty-eight billion, three hundred ninety-five million, five hundred thirty-seven thousand, two hundred eighty".