1135135540 has 96 divisors (see below), whose sum is σ = 3035418624. Its totient is φ = 346258560.

The previous prime is 1135135517. The next prime is 1135135579. The reversal of 1135135540 is 455315311.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 1135135499 and 1135135508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64539 + ... + 80221.

It is an arithmetic number, because the mean of its divisors is an integer number (31618944).

Almost surely, 2^1135135540 is an apocalyptic number.

1135135540 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 1135135540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1517709312).

1135135540 is an abundant number, since it is smaller than the sum of its proper divisors (1900283084).

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

1135135540 is a wasteful number, since it uses less digits than its factorization.

1135135540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15757 (or 15755 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 28.

The square root of 1135135540 is about 33691.7725861968. The cubic root of 1135135540 is about 1043.1559520655.

The spelling of 1135135540 in words is "one billion, one hundred thirty-five million, one hundred thirty-five thousand, five hundred forty".