45154032 has 160 divisors (see below), whose sum is σ = 153323520. Its totient is φ = 11093760.

The previous prime is 45154019. The next prime is 45154033. The reversal of 45154032 is 23045154.

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

It is a junction number, because it is equal to n+sod(n) for n = 45153993 and 45154011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45154033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69903 + ... + 70545.

It is an arithmetic number, because the mean of its divisors is an integer number (958272).

Almost surely, 2^45154032 is an apocalyptic number.

45154032 is a gapful number since it is divisible by the number (42) 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 45154032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76661760).

45154032 is an abundant number, since it is smaller than the sum of its proper divisors (108169488).

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

45154032 is a wasteful number, since it uses less digits than its factorization.

45154032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 45154032 is about 6719.6749921406. The cubic root of 45154032 is about 356.0947019022.

Adding to 45154032 its reverse (23045154), we get a palindrome (68199186).

The spelling of 45154032 in words is "forty-five million, one hundred fifty-four thousand, thirty-two".