1134097203600 has 135 divisors (see below), whose sum is σ = 3935854074243. Its totient is φ = 302408881920.

The previous prime is 1134097203539. The next prime is 1134097203623. The reversal of 1134097203600 is 63027904311.

The square root of 1134097203600 is 1064940.

It is a perfect power (a square), and thus also a powerful number.

1134097203600 is a `hidden beast` number, since 1 + 1 + 3 + 40 + 9 + 7 + 2 + 0 + 3 + 600 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 451213132176 + 682884071424 = 671724^2 + 826368^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 63887526 + ... + 63905274.

Almost surely, 2^{1134097203600} is an apocalyptic number.

1134097203600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1134097203600 is the 1064940-th square number.

It is an amenable number.

1134097203600 is an abundant number, since it is smaller than the sum of its proper divisors (2801756870643).

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

1134097203600 is an frugal number, since it uses more digits than its factorization.

1134097203600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35522 (or 17759 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

Multiplying 1134097203600 by its sum of digits (36), we get a square (40827499329600 = 6389640²).

1134097203600 divided by its sum of digits (36) gives a square (31502700100 = 177490²).

The spelling of 1134097203600 in words is "one trillion, one hundred thirty-four billion, ninety-seven million, two hundred three thousand, six hundred".