1534132224 has 255 divisors, whose sum is σ = 4868894437. Its totient is φ = 481296384.

The previous prime is 1534132189. The next prime is 1534132267. The reversal of 1534132224 is 4222314351.

The square root of 1534132224 is 39168.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1194393600 + 339738624 = 34560^2 + 18432^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 90243064 + ... + 90243080.

Almost surely, 2^1534132224 is an apocalyptic number.

1534132224 is the 39168-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1534132224

1534132224 is an abundant number, since it is smaller than the sum of its proper divisors (3334762213).

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

1534132224 is an frugal number, since it uses more digits than its factorization.

1534132224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 22 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The cubic root of 1534132224 is about 1153.3317930935.

Adding to 1534132224 its reverse (4222314351), we get a palindrome (5756446575).

The spelling of 1534132224 in words is "one billion, five hundred thirty-four million, one hundred thirty-two thousand, two hundred twenty-four".