1157131008 has 432 divisors, whose sum is σ = 4017686400. Its totient is φ = 328458240.

The previous prime is 1157130983. The next prime is 1157131051. The reversal of 1157131008 is 8001317511.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13001428 + ... + 13001516.

It is an arithmetic number, because the mean of its divisors is an integer number (9300200).

Almost surely, 2^1157131008 is an apocalyptic number.

1157131008 is a gapful number since it is divisible by the number (18) 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 1157131008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2008843200).

1157131008 is an abundant number, since it is smaller than the sum of its proper divisors (2860555392).

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

1157131008 is an equidigital number, since it uses as much as digits as its factorization.

1157131008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 27.

The square root of 1157131008 is about 34016.6284043554. The cubic root of 1157131008 is about 1049.8506236482.

Adding to 1157131008 its reverse (8001317511), we get a palindrome (9158448519).

The spelling of 1157131008 in words is "one billion, one hundred fifty-seven million, one hundred thirty-one thousand, eight".