537132000 has 192 divisors, whose sum is σ = 1863860544. Its totient is φ = 134758400.

The previous prime is 537131893. The next prime is 537132031. The reversal of 537132000 is 231735.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 202684 + ... + 205316.

It is an arithmetic number, because the mean of its divisors is an integer number (9707607).

Almost surely, 2^537132000 is an apocalyptic number.

537132000 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 537132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (931930272).

537132000 is an abundant number, since it is smaller than the sum of its proper divisors (1326728544).

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

537132000 is a wasteful number, since it uses less digits than its factorization.

537132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2678 (or 2660 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 21.

The square root of 537132000 is about 23176.1083877341. The cubic root of 537132000 is about 812.8810677971.

Adding to 537132000 its reverse (231735), we get a palindrome (537363735).

The spelling of 537132000 in words is "five hundred thirty-seven million, one hundred thirty-two thousand".