7145133828 has 192 divisors, whose sum is σ = 20368588800. Its totient is φ = 1906519680.

The previous prime is 7145133823. The next prime is 7145133833. The reversal of 7145133828 is 8283315417.

It is an interprime number because it is at equal distance from previous prime (7145133823) and next prime (7145133833).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 7145133828.

It is not an unprimeable number, because it can be changed into a prime (7145133823) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9668283 + ... + 9669021.

It is an arithmetic number, because the mean of its divisors is an integer number (106086400).

Almost surely, 2^7145133828 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7145133828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10184294400).

7145133828 is an abundant number, since it is smaller than the sum of its proper divisors (13223454972).

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

7145133828 is a wasteful number, since it uses less digits than its factorization.

7145133828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 910 (or 908 counting only the distinct ones).

The product of its digits is 161280, while the sum is 42.

The square root of 7145133828 is about 84528.8934507012. The cubic root of 7145133828 is about 1926.0613770636.

The spelling of 7145133828 in words is "seven billion, one hundred forty-five million, one hundred thirty-three thousand, eight hundred twenty-eight".