45200137200 has 120 divisors (see below), whose sum is σ = 153308299248. Its totient is φ = 11344343040.

The previous prime is 45200137141. The next prime is 45200137231. The reversal of 45200137200 is 273100254.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1087447 + ... + 1128246.

Almost surely, 2^45200137200 is an apocalyptic number.

45200137200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45200137200 is an abundant number, since it is smaller than the sum of its proper divisors (108108162048).

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

45200137200 is a wasteful number, since it uses less digits than its factorization.

45200137200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2215731 (or 2215720 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

Adding to 45200137200 its reverse (273100254), we get a palindrome (45473237454).

The spelling of 45200137200 in words is "forty-five billion, two hundred million, one hundred thirty-seven thousand, two hundred".