1157442000 has 640 divisors, whose sum is σ = 4679700480. Its totient is φ = 241920000.

The previous prime is 1157441933. The next prime is 1157442001. The reversal of 1157442000 is 2447511.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1157442001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16301965 + ... + 16302035.

It is an arithmetic number, because the mean of its divisors is an integer number (7312032).

Almost surely, 2^1157442000 is an apocalyptic number.

1157442000 is a gapful number since it is divisible by the number (10) 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 1157442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2339850240).

1157442000 is an abundant number, since it is smaller than the sum of its proper divisors (3522258480).

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

1157442000 is a wasteful number, since it uses less digits than its factorization.

1157442000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 1157442000 is about 34021.1992733942. The cubic root of 1157442000 is about 1049.9446682861.

Adding to 1157442000 its reverse (2447511), we get a palindrome (1159889511).

The spelling of 1157442000 in words is "one billion, one hundred fifty-seven million, four hundred forty-two thousand".