945148500 has 168 divisors, whose sum is σ = 3096084264. Its totient is φ = 251942400.

The previous prime is 945148493. The next prime is 945148511. The reversal of 945148500 is 5841549.

945148500 is a `hidden beast` number, since 9 + 4 + 5 + 148 + 500 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 24147396 + 921001104 = 4914^2 + 30348^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 363204 + ... + 365796.

It is an arithmetic number, because the mean of its divisors is an integer number (18429073).

Almost surely, 2^945148500 is an apocalyptic number.

945148500 is a gapful number since it is divisible by the number (90) 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 945148500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1548042132).

945148500 is an abundant number, since it is smaller than the sum of its proper divisors (2150935764).

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

945148500 is a wasteful number, since it uses less digits than its factorization.

945148500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2630 (or 2603 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 945148500 is about 30743.2675556779. The cubic root of 945148500 is about 981.3712928349.

The spelling of 945148500 in words is "nine hundred forty-five million, one hundred forty-eight thousand, five hundred".