1135454245000 has 160 divisors (see below), whose sum is σ = 2714997641400. Its totient is φ = 444883712000.

The previous prime is 1135454244983. The next prime is 1135454245027. The reversal of 1135454245000 is 5424545311.

It can be written as a sum of positive squares in 20 ways, for example, as 5438472516 + 1130015772484 = 73746^2 + 1063022^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 179401836 + ... + 179408164.

Almost surely, 2^{1135454245000} is an apocalyptic number.

1135454245000 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 1135454245000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1357498820700).

1135454245000 is an abundant number, since it is smaller than the sum of its proper divisors (1579543396400).

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

1135454245000 is an equidigital number, since it uses as much as digits as its factorization.

1135454245000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7085 (or 7066 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 34.

The spelling of 1135454245000 in words is "one trillion, one hundred thirty-five billion, four hundred fifty-four million, two hundred forty-five thousand".