45135217507420 has 48 divisors (see below), whose sum is σ = 95123524204800. Its totient is φ = 17989501178880.

The previous prime is 45135217507411. The next prime is 45135217507421. The reversal of 45135217507420 is 2470571253154.

45135217507420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×45135217507420² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45135217507421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4782916 + ... + 10637044.

It is an arithmetic number, because the mean of its divisors is an integer number (1981740087600).

Almost surely, 2^{45135217507420} is an apocalyptic number.

It is an amenable number.

45135217507420 is an abundant number, since it is smaller than the sum of its proper divisors (49988306697380).

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

45135217507420 is a wasteful number, since it uses less digits than its factorization.

45135217507420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5855518 (or 5855516 counting only the distinct ones).

The product of its (nonzero) digits is 1176000, while the sum is 46.

The spelling of 45135217507420 in words is "forty-five trillion, one hundred thirty-five billion, two hundred seventeen million, five hundred seven thousand, four hundred twenty".