45160658136 has 384 divisors, whose sum is σ = 148440038400. Its totient is φ = 12605518080.

The previous prime is 45160658131. The next prime is 45160658141. The reversal of 45160658136 is 63185606154.

45160658136 is a `hidden beast` number, since 4 + 5 + 1 + 60 + 6 + 581 + 3 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (45160658131) and next prime (45160658141).

It is a junction number, because it is equal to n+sod(n) for n = 45160658091 and 45160658100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45160658131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31735521 + ... + 31736943.

It is an arithmetic number, because the mean of its divisors is an integer number (386562600).

Almost surely, 2^45160658136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45160658136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74220019200).

45160658136 is an abundant number, since it is smaller than the sum of its proper divisors (103279380264).

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

45160658136 is a wasteful number, since it uses less digits than its factorization.

45160658136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1524 (or 1495 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 45160658136 in words is "forty-five billion, one hundred sixty million, six hundred fifty-eight thousand, one hundred thirty-six".