1334101140 has 144 divisors (see below), whose sum is σ = 4131887760. Its totient is φ = 348364800.

The previous prime is 1334101133. The next prime is 1334101159. The reversal of 1334101140 is 411014331.

It can be written as a sum of positive squares in 8 ways, for example, as 56610576 + 1277490564 = 7524^2 + 35742^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1902790 + ... + 1903490.

It is an arithmetic number, because the mean of its divisors is an integer number (28693665).

Almost surely, 2^1334101140 is an apocalyptic number.

1334101140 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 1334101140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2065943880).

1334101140 is an abundant number, since it is smaller than the sum of its proper divisors (2797786620).

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

1334101140 is a wasteful number, since it uses less digits than its factorization.

1334101140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1334101140 is about 36525.3492796441. The cubic root of 1334101140 is about 1100.8536459037.

Adding to 1334101140 its reverse (411014331), we get a palindrome (1745115471).

The spelling of 1334101140 in words is "one billion, three hundred thirty-four million, one hundred one thousand, one hundred forty".