45512567136 has 144 divisors (see below), whose sum is σ = 130347728784. Its totient is φ = 15063293952.

The previous prime is 45512567123. The next prime is 45512567159. The reversal of 45512567136 is 63176521554.

45512567136 is a `hidden beast` number, since 4 + 5 + 51 + 2 + 567 + 1 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 45512567091 and 45512567100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27466020 + ... + 27467676.

It is an arithmetic number, because the mean of its divisors is an integer number (905192561).

Almost surely, 2^45512567136 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 45512567136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65173864392).

45512567136 is an abundant number, since it is smaller than the sum of its proper divisors (84835161648).

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

45512567136 is a wasteful number, since it uses less digits than its factorization.

45512567136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2293 (or 2282 counting only the distinct ones).

The product of its digits is 756000, while the sum is 45.

It can be divided in two parts, 455 and 12567136, that added together give a triangular number (12567591 = T₅₀₁₃).

The spelling of 45512567136 in words is "forty-five billion, five hundred twelve million, five hundred sixty-seven thousand, one hundred thirty-six".