1520064144 has 175 divisors, whose sum is σ = 4660979363. Its totient is φ = 480020256.

The previous prime is 1520064131. The next prime is 1520064151. The reversal of 1520064144 is 4414600251.

The square root of 1520064144 is 38988.

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

1520064144 is a `hidden beast` number, since 15 + 2 + 0 + 0 + 641 + 4 + 4 = 666.

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 34 ways as a sum of consecutive naturals, for example, 80003367 + ... + 80003385.

Almost surely, 2^1520064144 is an apocalyptic number.

1520064144 is the 38988-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1520064144

1520064144 is an abundant number, since it is smaller than the sum of its proper divisors (3140915219).

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

1520064144 is an frugal number, since it uses more digits than its factorization.

1520064144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The cubic root of 1520064144 is about 1149.7955891252.

Adding to 1520064144 its reverse (4414600251), we get a palindrome (5934664395).

The spelling of 1520064144 in words is "one billion, five hundred twenty million, sixty-four thousand, one hundred forty-four".