535144104 has 128 divisors (see below), whose sum is σ = 1642752000. Its totient is φ = 160056000.

The previous prime is 535144087. The next prime is 535144109. The reversal of 535144104 is 401441535.

It is a happy number.

It is a super-3 number, since 3×535144104³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (535144109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 186279 + ... + 189129.

It is an arithmetic number, because the mean of its divisors is an integer number (12834000).

Almost surely, 2^535144104 is an apocalyptic number.

535144104 is a gapful number since it is divisible by the number (54) 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 535144104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821376000).

535144104 is an abundant number, since it is smaller than the sum of its proper divisors (1107607896).

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

535144104 is a wasteful number, since it uses less digits than its factorization.

535144104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2956 (or 2946 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 535144104 is about 23133.1818823092. The cubic root of 535144104 is about 811.8770187534.

Adding to 535144104 its reverse (401441535), we get a palindrome (936585639).

It can be divided in two parts, 5351 and 44104, that added together give a triangular number (49455 = T₃₁₄).

The spelling of 535144104 in words is "five hundred thirty-five million, one hundred forty-four thousand, one hundred four".