1348029144 has 192 divisors, whose sum is σ = 4819875840. Its totient is φ = 329518080.

The previous prime is 1348029113. The next prime is 1348029187. The reversal of 1348029144 is 4419208431.

It is a happy number.

1348029144 is a `hidden beast` number, since 13 + 480 + 29 + 144 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1348029099 and 1348029108.

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, 87097 + ... + 101399.

It is an arithmetic number, because the mean of its divisors is an integer number (25103520).

Almost surely, 2^1348029144 is an apocalyptic number.

1348029144 is a gapful number since it is divisible by the number (14) 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 1348029144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2409937920).

1348029144 is an abundant number, since it is smaller than the sum of its proper divisors (3471846696).

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

1348029144 is a wasteful number, since it uses less digits than its factorization.

1348029144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14350 (or 14343 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1348029144 is about 36715.5163929367. The cubic root of 1348029144 is about 1104.6713583527.

It can be divided in two parts, 13480 and 29144, that added together give a palindrome (42624).

The spelling of 1348029144 in words is "one billion, three hundred forty-eight million, twenty-nine thousand, one hundred forty-four".