138275735040 has 800 divisors, whose sum is σ = 524760698880. Its totient is φ = 34728984576.

The previous prime is 138275735033. The next prime is 138275735041. The reversal of 138275735040 is 40537572831.

138275735040 is a `hidden beast` number, since 1 + 3 + 8 + 2 + 75 + 73 + 504 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138275735041) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 376772937 + ... + 376773303.

Almost surely, 2^138275735040 is an apocalyptic number.

138275735040 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 138275735040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262380349440).

138275735040 is an abundant number, since it is smaller than the sum of its proper divisors (386484963840).

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

138275735040 is an equidigital number, since it uses as much as digits as its factorization.

138275735040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 138275735040 in words is "one hundred thirty-eight billion, two hundred seventy-five million, seven hundred thirty-five thousand, forty".