1353138144 has 48 divisors (see below), whose sum is σ = 3674477520. Its totient is φ = 435491840.

The previous prime is 1353138119. The next prime is 1353138187. The reversal of 1353138144 is 4418313531.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 240237 + ... + 245804.

It is an arithmetic number, because the mean of its divisors is an integer number (76551615).

Almost surely, 2^1353138144 is an apocalyptic number.

It is an amenable number.

1353138144 is an abundant number, since it is smaller than the sum of its proper divisors (2321339376).

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

1353138144 is a wasteful number, since it uses less digits than its factorization.

1353138144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486083 (or 486075 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 1353138144 is about 36785.0260839924. The cubic root of 1353138144 is about 1106.0651588390.

The spelling of 1353138144 in words is "one billion, three hundred fifty-three million, one hundred thirty-eight thousand, one hundred forty-four".