148864401 has 45 divisors (see below), whose sum is σ = 253907849. Its totient is φ = 84040488.

The previous prime is 148864381. The next prime is 148864403. The reversal of 148864401 is 104468841.

The square root of 148864401 is 12201.

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

148864401 is a `hidden beast` number, since 1 + 4 + 8 + 8 + 644 + 0 + 1 = 666.

It is not a de Polignac number, because 148864401 - 2⁷ = 148864273 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (148864403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1793506 + ... + 1793588.

Almost surely, 2^148864401 is an apocalyptic number.

148864401 is the 12201-st square number.

148864401 is the 6101-st centered octagonal number.

It is an amenable number.

148864401 is a deficient number, since it is larger than the sum of its proper divisors (105043448).

148864401 is an frugal number, since it uses more digits than its factorization.

148864401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The cubic root of 148864401 is about 529.9850488247.

Multiplying 148864401 by its sum of digits (36), we get a square (5359118436 = 73206²).

The spelling of 148864401 in words is "one hundred forty-eight million, eight hundred sixty-four thousand, four hundred one".