45131520 has 288 divisors, whose sum is σ = 174246912. Its totient is φ = 9732096.

The previous prime is 45131507. The next prime is 45131531. The reversal of 45131520 is 2513154.

45131520 = 750² + 751² + ... + 822².

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 618204 + ... + 618276.

It is an arithmetic number, because the mean of its divisors is an integer number (605024).

Almost surely, 2^45131520 is an apocalyptic number.

45131520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45131520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87123456).

45131520 is an abundant number, since it is smaller than the sum of its proper divisors (129115392).

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

45131520 is a wasteful number, since it uses less digits than its factorization.

45131520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 45131520 is about 6717.9997022923. Note that the first 3 decimals coincide. The cubic root of 45131520 is about 356.0355138581.

Adding to 45131520 its reverse (2513154), we get a palindrome (47644674).

The spelling of 45131520 in words is "forty-five million, one hundred thirty-one thousand, five hundred twenty".