1145529000 has 1024 divisors, whose sum is σ = 5391360000. Its totient is φ = 217728000.

The previous prime is 1145528999. The next prime is 1145529013. The reversal of 1145529000 is 9255411.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 39500986 + ... + 39501014.

It is an arithmetic number, because the mean of its divisors is an integer number (5265000).

Almost surely, 2^1145529000 is an apocalyptic number.

1145529000 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 1145529000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2695680000).

1145529000 is an abundant number, since it is smaller than the sum of its proper divisors (4245831000).

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

1145529000 is a wasteful number, since it uses less digits than its factorization.

1145529000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 1145529000 is about 33845.6644195383. The cubic root of 1145529000 is about 1046.3300448773.

The spelling of 1145529000 in words is "one billion, one hundred forty-five million, five hundred twenty-nine thousand".