45143120 has 80 divisors (see below), whose sum is σ = 117260352. Its totient is φ = 16020480.

The previous prime is 45143117. The next prime is 45143123. The reversal of 45143120 is 2134154.

45143120 = 347² + 348² + ... + 561².

It is an interprime number because it is at equal distance from previous prime (45143117) and next prime (45143123).

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 (20).

It is a junction number, because it is equal to n+sod(n) for n = 45143092 and 45143101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45143123) 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, 37244 + ... + 38436.

Almost surely, 2^45143120 is an apocalyptic number.

45143120 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 45143120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58630176).

45143120 is an abundant number, since it is smaller than the sum of its proper divisors (72117232).

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

45143120 is a wasteful number, since it uses less digits than its factorization.

45143120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1260 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 45143120 is about 6718.8629990498. The cubic root of 45143120 is about 356.0660147746.

Adding to 45143120 its reverse (2134154), we get a palindrome (47277274).

The spelling of 45143120 in words is "forty-five million, one hundred forty-three thousand, one hundred twenty".