1335114144 has 192 divisors, whose sum is σ = 4792999680. Its totient is φ = 352097280.

The previous prime is 1335114139. The next prime is 1335114161. The reversal of 1335114144 is 4414115331.

1335114144 is a `hidden beast` number, since 1 + 3 + 3 + 511 + 4 + 144 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70134 + ... + 87114.

It is an arithmetic number, because the mean of its divisors is an integer number (24963540).

Almost surely, 2^1335114144 is an apocalyptic number.

1335114144 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 1335114144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2396499840).

1335114144 is an abundant number, since it is smaller than the sum of its proper divisors (3457885536).

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

1335114144 is a wasteful number, since it uses less digits than its factorization.

1335114144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17020 (or 17006 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 1335114144 is about 36539.2137846451. The cubic root of 1335114144 is about 1101.1322072454.

Adding to 1335114144 its reverse (4414115331), we get a palindrome (5749229475).

It can be divided in two parts, 13351 and 14144, that added together give a triangular number (27495 = T₂₃₄).

The spelling of 1335114144 in words is "one billion, three hundred thirty-five million, one hundred fourteen thousand, one hundred forty-four".