1354541120 has 56 divisors (see below), whose sum is σ = 3247263000. Its totient is φ = 538161152.

The previous prime is 1354541119. The next prime is 1354541143. The reversal of 1354541120 is 211454531.

It can be written as a sum of positive squares in 4 ways, for example, as 41783296 + 1312757824 = 6464^2 + 36232^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1354541120.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 33476 + ... + 61884.

Almost surely, 2^1354541120 is an apocalyptic number.

1354541120 is a gapful number since it is divisible by the number (10) 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 1354541120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1623631500).

1354541120 is an abundant number, since it is smaller than the sum of its proper divisors (1892721880).

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

1354541120 is a wasteful number, since it uses less digits than its factorization.

1354541120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28575 (or 28565 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 1354541120 is about 36804.0910769441. The cubic root of 1354541120 is about 1106.4472944633.

Adding to 1354541120 its reverse (211454531), we get a palindrome (1565995651).

The spelling of 1354541120 in words is "one billion, three hundred fifty-four million, five hundred forty-one thousand, one hundred twenty".