3135654144 has 216 divisors, whose sum is σ = 10394966400. Its totient is φ = 890486784.

The previous prime is 3135654103. The next prime is 3135654149. The reversal of 3135654144 is 4414565313.

3135654144 is a `hidden beast` number, since 3 + 13 + 565 + 41 + 44 = 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 = 3135654099 and 3135654108.

It is not an unprimeable number, because it can be changed into a prime (3135654149) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3208984 + ... + 3209960.

Almost surely, 2^3135654144 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 3135654144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5197483200).

3135654144 is an abundant number, since it is smaller than the sum of its proper divisors (7259312256).

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

3135654144 is a wasteful number, since it uses less digits than its factorization.

3135654144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1205 (or 1188 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 3135654144 is about 55996.9119148547. The cubic root of 3135654144 is about 1463.6684728117.

The spelling of 3135654144 in words is "three billion, one hundred thirty-five million, six hundred fifty-four thousand, one hundred forty-four".