148668080625 has 135 divisors (see below), whose sum is σ = 276349846773. Its totient is φ = 76991616000.

The previous prime is 148668080579. The next prime is 148668080633. The reversal of 148668080625 is 526080866841.

The square root of 148668080625 is 385575.

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

148668080625 is a `hidden beast` number, since 1 + 4 + 8 + 6 + 6 + 8 + 0 + 8 + 0 + 625 = 666.

It can be written as a sum of positive squares in 22 ways, for example, as 147002461281 + 1665619344 = 383409^2 + 40812^2 .

It is not a de Polignac number, because 148668080625 - 2¹⁹ = 148667556337 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1532660577 + ... + 1532660673.

Almost surely, 2^148668080625 is an apocalyptic number.

148668080625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

148668080625 is the 385575-th square number.

148668080625 is the 192788-th centered octagonal number.

It is an amenable number.

148668080625 is a deficient number, since it is larger than the sum of its proper divisors (127681766148).

148668080625 is an frugal number, since it uses more digits than its factorization.

148668080625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 148668080625 in words is "one hundred forty-eight billion, six hundred sixty-eight million, eighty thousand, six hundred twenty-five".