537345000 has 120 divisors (see below), whose sum is σ = 1818706890. Its totient is φ = 143280000.

The previous prime is 537344987. The next prime is 537345007. The reversal of 537345000 is 543735.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 125316 + 537219684 = 354^2 + 23178^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (537345007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 39030 + ... + 50970.

Almost surely, 2^537345000 is an apocalyptic number.

537345000 is a gapful number since it is divisible by the number (50) 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 537345000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (909353445).

537345000 is an abundant number, since it is smaller than the sum of its proper divisors (1281361890).

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

537345000 is a wasteful number, since it uses less digits than its factorization.

537345000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11973 (or 11951 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 27.

The square root of 537345000 is about 23180.7031817415. The cubic root of 537345000 is about 812.9885030804.

Adding to 537345000 its reverse (543735), we get a palindrome (537888735).

The spelling of 537345000 in words is "five hundred thirty-seven million, three hundred forty-five thousand".