1355212544 has 144 divisors (see below), whose sum is σ = 3320110080. Its totient is φ = 539136000.

The previous prime is 1355212519. The next prime is 1355212567. The reversal of 1355212544 is 4452125531.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 1355212544.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1804169 + ... + 1804919.

It is an arithmetic number, because the mean of its divisors is an integer number (23056320).

Almost surely, 2^1355212544 is an apocalyptic number.

1355212544 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 1355212544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1660055040).

1355212544 is an abundant number, since it is smaller than the sum of its proper divisors (1964897536).

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

1355212544 is an equidigital number, since it uses as much as digits as its factorization.

1355212544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846 (or 832 counting only the distinct ones).

The product of its digits is 24000, while the sum is 32.

The square root of 1355212544 is about 36813.2115415105. The cubic root of 1355212544 is about 1106.6300802408.

The spelling of 1355212544 in words is "one billion, three hundred fifty-five million, two hundred twelve thousand, five hundred forty-four".