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132536025 = 3252589049
BaseRepresentation
bin1111110011001…
…01011011011001
3100020101112020200
413321211123121
5232412123100
621052412413
73166352256
oct771453331
9306345220
10132536025
11688a4306
1238477109
13215c5bab
141386042d
15b97ee00
hex7e656d9

132536025 has 18 divisors (see below), whose sum is σ = 237387150. Its totient is φ = 70685760.

The previous prime is 132536017. The next prime is 132536101. The reversal of 132536025 is 520635231.

132536025 is a `hidden beast` number, since 1 + 3 + 2 + 53 + 602 + 5 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 30869136 + 101666889 = 5556^2 + 10083^2 .

It is not a de Polignac number, because 132536025 - 23 = 132536017 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 132536025.

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 17 ways as a sum of consecutive naturals, for example, 294300 + ... + 294749.

It is an arithmetic number, because the mean of its divisors is an integer number (13188175).

Almost surely, 2132536025 is an apocalyptic number.

132536025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132536025 is a deficient number, since it is larger than the sum of its proper divisors (104851125).

132536025 is a wasteful number, since it uses less digits than its factorization.

132536025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589065 (or 589057 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 132536025 is about 11512.4291528765. The cubic root of 132536025 is about 509.8526102344.

The spelling of 132536025 in words is "one hundred thirty-two million, five hundred thirty-six thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 589049 1767147 2945245 5301441 8835735 14726225 26507205 44178675 132536025