45200619135 has 120 divisors (see below), whose sum is σ = 96804084960. Its totient is φ = 20104350336.

The previous prime is 45200619091. The next prime is 45200619137. The reversal of 45200619135 is 53191600254.

45200619135 is a `hidden beast` number, since 4 + 5 + 2 + 0 + 0 + 619 + 1 + 35 = 666.

It is not a de Polignac number, because 45200619135 - 2⁶ = 45200619071 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 45200619135.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45200619137) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 703486 + ... + 765044.

It is an arithmetic number, because the mean of its divisors is an integer number (806700708).

Almost surely, 2^45200619135 is an apocalyptic number.

45200619135 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

45200619135 is an abundant number, since it is smaller than the sum of its proper divisors (51603465825).

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

45200619135 is a wasteful number, since it uses less digits than its factorization.

45200619135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61627 (or 61611 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 45200619135 in words is "forty-five billion, two hundred million, six hundred nineteen thousand, one hundred thirty-five".