45145760 has 96 divisors (see below), whose sum is σ = 117899712. Its totient is φ = 16199680.

The previous prime is 45145753. The next prime is 45145777. The reversal of 45145760 is 6754154.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 198767 + ... + 198993.

It is an arithmetic number, because the mean of its divisors is an integer number (1228122).

Almost surely, 2^45145760 is an apocalyptic number.

45145760 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 45145760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58949856).

45145760 is an abundant number, since it is smaller than the sum of its proper divisors (72753952).

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

45145760 is a wasteful number, since it uses less digits than its factorization.

45145760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 32.

The square root of 45145760 is about 6719.0594579896. The cubic root of 45145760 is about 356.0729556326.

The spelling of 45145760 in words is "forty-five million, one hundred forty-five thousand, seven hundred sixty".