1157342592 has 512 divisors, whose sum is σ = 4136140800. Its totient is φ = 278691840.

The previous prime is 1157342551. The next prime is 1157342603. The reversal of 1157342592 is 2952437511.

It is a self number, because there is not a number n which added to its sum of digits gives 1157342592.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26914923 + ... + 26914965.

It is an arithmetic number, because the mean of its divisors is an integer number (8078400).

Almost surely, 2^1157342592 is an apocalyptic number.

1157342592 is a gapful number since it is divisible by the number (12) 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 1157342592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2068070400).

1157342592 is an abundant number, since it is smaller than the sum of its proper divisors (2978798208).

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

1157342592 is a wasteful number, since it uses less digits than its factorization.

1157342592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 122 counting only the distinct ones).

The product of its digits is 75600, while the sum is 39.

The square root of 1157342592 is about 34019.7382705981. The cubic root of 1157342592 is about 1049.9146089288.

The spelling of 1157342592 in words is "one billion, one hundred fifty-seven million, three hundred forty-two thousand, five hundred ninety-two".