138281547600 has 1200 divisors, whose sum is σ = 605033299200. Its totient is φ = 30177100800.

The previous prime is 138281547563. The next prime is 138281547617. The reversal of 138281547600 is 6745182831.

138281547600 is a `hidden beast` number, since 1 + 3 + 8 + 28 + 15 + 4 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 255603330 + ... + 255603870.

It is an arithmetic number, because the mean of its divisors is an integer number (504194416).

Almost surely, 2^138281547600 is an apocalyptic number.

138281547600 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 138281547600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302516649600).

138281547600 is an abundant number, since it is smaller than the sum of its proper divisors (466751751600).

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

138281547600 is a wasteful number, since it uses less digits than its factorization.

138281547600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 138281547600 in words is "one hundred thirty-eight billion, two hundred eighty-one million, five hundred forty-seven thousand, six hundred".