1353045120 has 128 divisors (see below), whose sum is σ = 4928999040. Its totient is φ = 309264384.

The previous prime is 1353045103. The next prime is 1353045121. The reversal of 1353045120 is 215403531.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1353045121) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 36897 + ... + 63776.

It is an arithmetic number, because the mean of its divisors is an integer number (38507805).

Almost surely, 2^1353045120 is an apocalyptic number.

1353045120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1353045120 is an abundant number, since it is smaller than the sum of its proper divisors (3575953920).

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

1353045120 is a wasteful number, since it uses less digits than its factorization.

1353045120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100702 (or 100690 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 1353045120 is about 36783.7616347214. The cubic root of 1353045120 is about 1106.0398120888.

Adding to 1353045120 its reverse (215403531), we get a palindrome (1568448651).

The spelling of 1353045120 in words is "one billion, three hundred fifty-three million, forty-five thousand, one hundred twenty".