1353834144 has 288 divisors, whose sum is σ = 4418079120. Its totient is φ = 390168576.

The previous prime is 1353834127. The next prime is 1353834187. The reversal of 1353834144 is 4414383531.

1353834144 is a `hidden beast` number, since 135 + 383 + 4 + 144 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 575424144 + 778410000 = 23988^2 + 27900^2 .

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).

Its product of digits (69120) is a multiple of the sum of its prime factors (432).

It is a junction number, because it is equal to n+sod(n) for n = 1353834099 and 1353834108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4017144 + ... + 4017480.

Almost surely, 2^1353834144 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 1353834144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2209039560).

1353834144 is an abundant number, since it is smaller than the sum of its proper divisors (3064244976).

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

1353834144 is a wasteful number, since it uses less digits than its factorization.

1353834144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 421 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 1353834144 is about 36794.4852389594. The cubic root of 1353834144 is about 1106.2547648555.

The spelling of 1353834144 in words is "one billion, three hundred fifty-three million, eight hundred thirty-four thousand, one hundred forty-four".