1353020144 has 60 divisors (see below), whose sum is σ = 3131958024. Its totient is φ = 564181632.

The previous prime is 1353020129. The next prime is 1353020147. The reversal of 1353020144 is 4410203531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1353020147) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5687 + ... + 52329.

Almost surely, 2^1353020144 is an apocalyptic number.

1353020144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1353020144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1565979012).

1353020144 is an abundant number, since it is smaller than the sum of its proper divisors (1778937880).

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

1353020144 is a wasteful number, since it uses less digits than its factorization.

1353020144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46702 (or 46689 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 1353020144 is about 36783.4221355219. The cubic root of 1353020144 is about 1106.0330065458.

Adding to 1353020144 its reverse (4410203531), we get a palindrome (5763223675).

The spelling of 1353020144 in words is "one billion, three hundred fifty-three million, twenty thousand, one hundred forty-four".