1158129000 has 384 divisors, whose sum is σ = 4625786880. Its totient is φ = 255744000.

The previous prime is 1158128999. The next prime is 1158129047. The reversal of 1158129000 is 9218511.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1952704 + ... + 1953296.

It is an arithmetic number, because the mean of its divisors is an integer number (12046320).

Almost surely, 2^1158129000 is an apocalyptic number.

1158129000 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 1158129000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2312893440).

1158129000 is an abundant number, since it is smaller than the sum of its proper divisors (3467657880).

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

1158129000 is a wasteful number, since it uses less digits than its factorization.

1158129000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The square root of 1158129000 is about 34031.2944214586. The cubic root of 1158129000 is about 1050.1523588435.

The spelling of 1158129000 in words is "one billion, one hundred fifty-eight million, one hundred twenty-nine thousand".