45151680 has 112 divisors (see below), whose sum is σ = 163860480. Its totient is φ = 10318848.

The previous prime is 45151663. The next prime is 45151681. The reversal of 45151680 is 8615154.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45151681) 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, 3361 + ... + 10079.

It is an arithmetic number, because the mean of its divisors is an integer number (1463040).

Almost surely, 2^45151680 is an apocalyptic number.

45151680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is a pronic number, being equal to 6719×6720.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45151680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81930240).

45151680 is an abundant number, since it is smaller than the sum of its proper divisors (118708800).

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

45151680 is a wasteful number, since it uses less digits than its factorization.

45151680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6746 (or 6736 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The square root of 45151680 is about 6719.4999813974. The cubic root of 45151680 is about 356.0885189972.

The spelling of 45151680 in words is "forty-five million, one hundred fifty-one thousand, six hundred eighty".