147436800625 has 15 divisors (see below), whose sum is σ = 184249022221. Its totient is φ = 117941761000.

The previous prime is 147436800569. The next prime is 147436800683. The reversal of 147436800625 is 526008634741.

The square root of 147436800625 is 383975.

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

It can be written as a sum of positive squares in 2 ways, for example, as 11559045169 + 135877755456 = 107513^2 + 368616^2 .

It is not a de Polignac number, because 147436800625 - 2⁹ = 147436800113 is a prime.

It is a super-2 number, since 2×147436800625² (a number of 23 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 14 ways as a sum of consecutive naturals, for example, 9591696 + ... + 9607054.

Almost surely, 2^147436800625 is an apocalyptic number.

147436800625 is the 383975-th square number.

147436800625 is the 191988-th centered octagonal number.

It is an amenable number.

147436800625 is a deficient number, since it is larger than the sum of its proper divisors (36812221596).

147436800625 is an frugal number, since it uses more digits than its factorization.

147436800625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30738 (or 15364 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 46.

The spelling of 147436800625 in words is "one hundred forty-seven billion, four hundred thirty-six million, eight hundred thousand, six hundred twenty-five".