1135525200 has 120 divisors (see below), whose sum is σ = 3851503488. Its totient is φ = 284989440.

The previous prime is 1135525199. The next prime is 1135525201. The reversal of 1135525200 is 25255311.

It is a happy number.

1135525200 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1135525199) and next prime (1135525201).

It is a tau number, because it is divible by the number of its divisors (120).

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 (1135525201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7432 + ... + 48231.

Almost surely, 2^1135525200 is an apocalyptic number.

1135525200 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 1135525200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1925751744).

1135525200 is an abundant number, since it is smaller than the sum of its proper divisors (2715978288).

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

1135525200 is a wasteful number, since it uses less digits than its factorization.

1135525200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55701 (or 55690 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

The square root of 1135525200 is about 33697.5548074337. The cubic root of 1135525200 is about 1043.2753004113.

The spelling of 1135525200 in words is "one billion, one hundred thirty-five million, five hundred twenty-five thousand, two hundred".