1255133440 has 144 divisors (see below), whose sum is σ = 3317166720. Its totient is φ = 451215360.

The previous prime is 1255133431. The next prime is 1255133441. The reversal of 1255133440 is 443315521.

It is a junction number, because it is equal to n+sod(n) for n = 1255133399 and 1255133408.

It is not an unprimeable number, because it can be changed into a prime (1255133441) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1365301 + ... + 1366219.

It is an arithmetic number, because the mean of its divisors is an integer number (23035880).

Almost surely, 2^1255133440 is an apocalyptic number.

1255133440 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 1255133440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1658583360).

1255133440 is an abundant number, since it is smaller than the sum of its proper divisors (2062033280).

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

1255133440 is an equidigital number, since it uses as much as digits as its factorization.

1255133440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 1255133440 is about 35427.8624813860. The cubic root of 1255133440 is about 1078.6899524694.

Adding to 1255133440 its reverse (443315521), we get a palindrome (1698448961).

The spelling of 1255133440 in words is "one billion, two hundred fifty-five million, one hundred thirty-three thousand, four hundred forty".