45153000 has 192 divisors, whose sum is σ = 158792400. Its totient is φ = 11558400.

The previous prime is 45152999. The next prime is 45153007. The reversal of 45153000 is 35154.

It can be written as a sum of positive squares in 8 ways, for example, as 7918596 + 37234404 = 2814^2 + 6102^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (45153007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 260914 + ... + 261086.

Almost surely, 2^45153000 is an apocalyptic number.

45153000 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 45153000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79396200).

45153000 is an abundant number, since it is smaller than the sum of its proper divisors (113639400).

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

45153000 is a wasteful number, since it uses less digits than its factorization.

45153000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 45153000 is about 6719.5982022737. The cubic root of 45153000 is about 356.0919890213.

Adding to 45153000 its reverse (35154), we get a palindrome (45188154).

The spelling of 45153000 in words is "forty-five million, one hundred fifty-three thousand".