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135596025 = 3452292309
BaseRepresentation
bin10000001010100…
…00011111111001
3100110010222210000
420011100133321
5234203033100
621242143213
73234355455
oct1005203771
9313128700
10135596025
116a5a4334
12394b1b09
1322127946
1414019665
15bd86900
hex81507f9

135596025 has 60 divisors (see below), whose sum is σ = 259944300. Its totient is φ = 69793920.

The previous prime is 135596023. The next prime is 135596047. The reversal of 135596025 is 520695531.

It can be written as a sum of positive squares in 6 ways, for example, as 385641 + 135210384 = 621^2 + 11628^2 .

It is not a de Polignac number, because 135596025 - 21 = 135596023 is a prime.

It is not an unprimeable number, because it can be changed into a prime (135596023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 57571 + ... + 59879.

It is an arithmetic number, because the mean of its divisors is an integer number (4332405).

Almost surely, 2135596025 is an apocalyptic number.

135596025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

135596025 is a deficient number, since it is larger than the sum of its proper divisors (124348275).

135596025 is a wasteful number, since it uses less digits than its factorization.

135596025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2360 (or 2346 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

The square root of 135596025 is about 11644.5706232561. The cubic root of 135596025 is about 513.7466300594.

The spelling of 135596025 in words is "one hundred thirty-five million, five hundred ninety-six thousand, twenty-five".

Divisors: 1 3 5 9 15 25 27 29 45 75 81 87 135 145 225 261 405 435 675 725 783 1305 2025 2175 2309 2349 3915 6525 6927 11545 11745 19575 20781 34635 57725 58725 62343 66961 103905 173175 187029 200883 311715 334805 519525 602649 935145 1004415 1558575 1674025 1807947 3013245 4675725 5022075 5423841 9039735 15066225 27119205 45198675 135596025