1157129064 has 384 divisors, whose sum is σ = 4148551680. Its totient is φ = 293932800.

The previous prime is 1157129053. The next prime is 1157129111. The reversal of 1157129064 is 4609217511.

1157129064 is a `hidden beast` number, since 1 + 1 + 571 + 29 + 0 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5483919 + ... + 5484129.

It is an arithmetic number, because the mean of its divisors is an integer number (10803520).

Almost surely, 2^1157129064 is an apocalyptic number.

1157129064 is a gapful number since it is divisible by the number (14) 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 1157129064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2074275840).

1157129064 is an abundant number, since it is smaller than the sum of its proper divisors (2991422616).

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

1157129064 is a wasteful number, since it uses less digits than its factorization.

1157129064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 1157129064 is about 34016.5998300830. The cubic root of 1157129064 is about 1049.8500357255.

The spelling of 1157129064 in words is "one billion, one hundred fifty-seven million, one hundred twenty-nine thousand, sixty-four".