45154560 has 144 divisors (see below), whose sum is σ = 157469760. Its totient is φ = 10936320.

The previous prime is 45154559. The next prime is 45154597. The reversal of 45154560 is 6545154.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 41706 + ... + 42774.

It is an arithmetic number, because the mean of its divisors is an integer number (1093540).

Almost surely, 2^45154560 is an apocalyptic number.

45154560 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 45154560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78734880).

45154560 is an abundant number, since it is smaller than the sum of its proper divisors (112315200).

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

45154560 is a wasteful number, since it uses less digits than its factorization.

45154560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1104 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The square root of 45154560 is about 6719.7142796402. The cubic root of 45154560 is about 356.0960898718.

The spelling of 45154560 in words is "forty-five million, one hundred fifty-four thousand, five hundred sixty".