45136133056 has 224 divisors, whose sum is σ = 108578050560. Its totient is φ = 18214170624.

The previous prime is 45136133047. The next prime is 45136133111. The reversal of 45136133056 is 65033163154.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72917515 + ... + 72918133.

It is an arithmetic number, because the mean of its divisors is an integer number (484723440).

Almost surely, 2^45136133056 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 45136133056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54289025280).

45136133056 is an abundant number, since it is smaller than the sum of its proper divisors (63441917504).

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

45136133056 is a wasteful number, since it uses less digits than its factorization.

45136133056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 37.

The spelling of 45136133056 in words is "forty-five billion, one hundred thirty-six million, one hundred thirty-three thousand, fifty-six".