146976390625 has 21 divisors (see below), whose sum is σ = 183778057767. Its totient is φ = 117542775000.

The previous prime is 146976390601. The next prime is 146976390643. The reversal of 146976390625 is 526093679641.

The square root of 146976390625 is 383375.

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

It can be written as a sum of positive squares in 3 ways, for example, as 128765427921 + 18210962704 = 358839^2 + 134948^2 .

It is not a de Polignac number, because 146976390625 - 2⁵ = 146976390593 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 146976390625.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 47920342 + ... + 47923408.

Almost surely, 2^146976390625 is an apocalyptic number.

146976390625 is the 383375-th square number.

146976390625 is the 191688-th centered octagonal number.

It is an amenable number.

146976390625 is a deficient number, since it is larger than the sum of its proper divisors (36801667142).

146976390625 is an frugal number, since it uses more digits than its factorization.

146976390625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6164 (or 3072 counting only the distinct ones).

The product of its (nonzero) digits is 14696640, while the sum is 58.

The spelling of 146976390625 in words is "one hundred forty-six billion, nine hundred seventy-six million, three hundred ninety thousand, six hundred twenty-five".