138350303562240 has 6400 divisors, whose sum is σ = 681937936035840. Its totient is φ = 25936495902720.

The previous prime is 138350303562217. The next prime is 138350303562269. The reversal of 138350303562240 is 42265303053831.

138350303562240 is a `hidden beast` number, since 1 + 3 + 8 + 3 + 50 + 3 + 0 + 356 + 2 + 240 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 848774868399 + ... + 848774868561.

Almost surely, 2^{138350303562240} is an apocalyptic number.

138350303562240 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 138350303562240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340968968017920).

138350303562240 is an abundant number, since it is smaller than the sum of its proper divisors (543587632473600).

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

138350303562240 is a wasteful number, since it uses less digits than its factorization.

138350303562240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 138350303562240 in words is "one hundred thirty-eight trillion, three hundred fifty billion, three hundred three million, five hundred sixty-two thousand, two hundred forty".