1157146008 has 64 divisors (see below), whose sum is σ = 3024172800. Its totient is φ = 368269440.

The previous prime is 1157146007. The next prime is 1157146009. The reversal of 1157146008 is 8006417511.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1157146007) and next prime (1157146009).

It is a self number, because there is not a number n which added to its sum of digits gives 1157146008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1157146007) 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, 362178 + ... + 365358.

It is an arithmetic number, because the mean of its divisors is an integer number (47252700).

Almost surely, 2^1157146008 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 1157146008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1512086400).

1157146008 is an abundant number, since it is smaller than the sum of its proper divisors (1867026792).

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

1157146008 is a wasteful number, since it uses less digits than its factorization.

1157146008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3872 (or 3868 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 33.

The square root of 1157146008 is about 34016.8488840457. The cubic root of 1157146008 is about 1049.8551600666.

The spelling of 1157146008 in words is "one billion, one hundred fifty-seven million, one hundred forty-six thousand, eight".