64132148145025 has 81 divisors (see below), whose sum is σ = 84245818379779. Its totient is φ = 48425982051040.

The previous prime is 64132148145001. The next prime is 64132148145073. The reversal of 64132148145025 is 52054184123146.

The square root of 64132148145025 is 8008255.

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., 23087573332209 + 41044574812816 = 4804953^2 + 6406604^2 .

It is a de Polignac number, because none of the positive numbers 2^k-64132148145025 is a prime.

It is a super-2 number, since 2×64132148145025² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 76438793556 + ... + 76438794394.

Almost surely, 2^{64132148145025} is an apocalyptic number.

64132148145025 is the 8008255-th square number.

64132148145025 is the 4004128-th centered octagonal number.

It is an amenable number.

64132148145025 is a deficient number, since it is larger than the sum of its proper divisors (20113670234754).

64132148145025 is an frugal number, since it uses more digits than its factorization.

64132148145025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1900 (or 950 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 46.

The spelling of 64132148145025 in words is "sixty-four trillion, one hundred thirty-two billion, one hundred forty-eight million, one hundred forty-five thousand, twenty-five".