1248135840 has 540 divisors, whose sum is σ = 5244127434. Its totient is φ = 270273024.

The previous prime is 1248135809. The next prime is 1248135851. The reversal of 1248135840 is 485318421.

It can be written as a sum of positive squares in only one way, i.e., 1123322256 + 124813584 = 33516^2 + 11172^2 .

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

It is a nialpdrome in base 14.

It is a zygodrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 1248135795 and 1248135804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 65691351 + ... + 65691369.

Almost surely, 2^1248135840 is an apocalyptic number.

1248135840 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 1248135840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2622063717).

1248135840 is an abundant number, since it is smaller than the sum of its proper divisors (3995991594).

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

1248135840 is an equidigital number, since it uses as much as digits as its factorization.

1248135840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 1248135840 is about 35328.9660194011. The cubic root of 1248135840 is about 1076.6815837995.

The spelling of 1248135840 in words is "one billion, two hundred forty-eight million, one hundred thirty-five thousand, eight hundred forty".