537142320 has 640 divisors, whose sum is σ = 2279854080. Its totient is φ = 114462720.

The previous prime is 537142303. The next prime is 537142343. The reversal of 537142320 is 23241735.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11428537 + ... + 11428583.

It is an arithmetic number, because the mean of its divisors is an integer number (3562272).

Almost surely, 2^537142320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 537142320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1139927040).

537142320 is an abundant number, since it is smaller than the sum of its proper divisors (1742711760).

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

537142320 is a wasteful number, since it uses less digits than its factorization.

537142320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 537142320 is about 23176.3310297381. The cubic root of 537142320 is about 812.8862737669.

The spelling of 537142320 in words is "five hundred thirty-seven million, one hundred forty-two thousand, three hundred twenty".