134318585025 has 81 divisors (see below), whose sum is σ = 245737442587. Its totient is φ = 70132483200.

The previous prime is 134318584993. The next prime is 134318585059. The reversal of 134318585025 is 520585813431.

The square root of 134318585025 is 366495.

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

134318585025 is a `hidden beast` number, since 1 + 3 + 43 + 1 + 8 + 585 + 0 + 25 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 80061268401 + 54257316624 = 282951^2 + 232932^2 .

It is not a de Polignac number, because 134318585025 - 2⁵ = 134318584993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is a Curzon number.

It is an unprimeable number.

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 80 ways as a sum of consecutive naturals, for example, 291363295 + ... + 291363755.

Almost surely, 2^134318585025 is an apocalyptic number.

134318585025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

134318585025 is the 366495-th square number.

134318585025 is the 183248-th centered octagonal number.

It is an amenable number.

134318585025 is a deficient number, since it is larger than the sum of its proper divisors (111418857562).

134318585025 is an frugal number, since it uses more digits than its factorization.

134318585025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 134318585025 in words is "one hundred thirty-four billion, three hundred eighteen million, five hundred eighty-five thousand, twenty-five".