1353078144 has 288 divisors, whose sum is σ = 4539454920. Its totient is φ = 385228800.

The previous prime is 1353078137. The next prime is 1353078151. The reversal of 1353078144 is 4418703531.

It is a happy number.

1353078144 is a `hidden beast` number, since 1 + 3 + 530 + 7 + 81 + 44 = 666.

It is an interprime number because it is at equal distance from previous prime (1353078137) and next prime (1353078151).

It is a tau number, because it is divible by the number of its divisors (288).

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 = 1353078099 and 1353078108.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 2369379 + ... + 2369949.

Almost surely, 2^1353078144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1353078144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2269727460).

1353078144 is an abundant number, since it is smaller than the sum of its proper divisors (3186376776).

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

1353078144 is a wasteful number, since it uses less digits than its factorization.

1353078144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1353078144 is about 36784.2105257133. The cubic root of 1353078144 is about 1106.0488104489.

The spelling of 1353078144 in words is "one billion, three hundred fifty-three million, seventy-eight thousand, one hundred forty-four".