1135652100 has 288 divisors, whose sum is σ = 3761759232. Its totient is φ = 262080000.

The previous prime is 1135652087. The next prime is 1135652123. The reversal of 1135652100 is 12565311.

It is a super-3 number, since 3×1135652100³ (a number of 28 digits) contains 333 as substring.

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, 8669035 + ... + 8669165.

It is an arithmetic number, because the mean of its divisors is an integer number (13061664).

Almost surely, 2^1135652100 is an apocalyptic number.

1135652100 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 1135652100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1880879616).

1135652100 is an abundant number, since it is smaller than the sum of its proper divisors (2626107132).

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

1135652100 is a wasteful number, since it uses less digits than its factorization.

1135652100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 1135652100 is about 33699.4376807685. The cubic root of 1135652100 is about 1043.3141625179.

The spelling of 1135652100 in words is "one billion, one hundred thirty-five million, six hundred fifty-two thousand, one hundred".