45135292020 has 384 divisors, whose sum is σ = 163579530240. Its totient is φ = 9042001920.

The previous prime is 45135291997. The next prime is 45135292067. The reversal of 45135292020 is 2029253154.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9656404 + ... + 9661076.

It is an arithmetic number, because the mean of its divisors is an integer number (425988360).

Almost surely, 2^45135292020 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 45135292020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81789765120).

45135292020 is an abundant number, since it is smaller than the sum of its proper divisors (118444238220).

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

45135292020 is a wasteful number, since it uses less digits than its factorization.

45135292020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4795 (or 4793 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The spelling of 45135292020 in words is "forty-five billion, one hundred thirty-five million, two hundred ninety-two thousand, twenty".