4515242075136 has 2112 divisors, whose sum is σ = 16980759129600. Its totient is φ = 1171588644864.

The previous prime is 4515242075129. The next prime is 4515242075161. The reversal of 4515242075136 is 6315702425154.

4515242075136 is a `hidden beast` number, since 4 + 5 + 1 + 524 + 20 + 75 + 1 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4515242075091 and 4515242075100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 50733056980 + ... + 50733057068.

Almost surely, 2^{4515242075136} is an apocalyptic number.

4515242075136 is a gapful number since it is divisible by the number (46) 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 4515242075136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8490379564800).

4515242075136 is an abundant number, since it is smaller than the sum of its proper divisors (12465517054464).

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

4515242075136 is a wasteful number, since it uses less digits than its factorization.

4515242075136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 4515242075136 in words is "four trillion, five hundred fifteen billion, two hundred forty-two million, seventy-five thousand, one hundred thirty-six".