45161520 has 80 divisors (see below), whose sum is σ = 148249440. Its totient is φ = 11333632.

The previous prime is 45161509. The next prime is 45161527. The reversal of 45161520 is 2516154.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is not an unprimeable number, because it can be changed into a prime (45161527) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1455 + ... + 9614.

It is an arithmetic number, because the mean of its divisors is an integer number (1853118).

Almost surely, 2^45161520 is an apocalyptic number.

45161520 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 45161520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74124720).

45161520 is an abundant number, since it is smaller than the sum of its proper divisors (103087920).

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

45161520 is a wasteful number, since it uses less digits than its factorization.

45161520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11102 (or 11096 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 45161520 is about 6720.2321388476. The cubic root of 45161520 is about 356.1143848233.

Adding to 45161520 its reverse (2516154), we get a palindrome (47677674).

The spelling of 45161520 in words is "forty-five million, one hundred sixty-one thousand, five hundred twenty".