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133688025 = 32521374337
BaseRepresentation
bin1111111011111…
…10101011011001
3100022120001111100
413331332223121
5233211004100
621133222013
73212221002
oct775765331
9308501440
10133688025
1169510879
1238931909
132190a353
1413a801a9
15bb0b400
hex7f7ead9

133688025 has 36 divisors (see below), whose sum is σ = 241253532. Its totient is φ = 70763520.

The previous prime is 133688021. The next prime is 133688063. The reversal of 133688025 is 520886331.

It can be written as a sum of positive squares in 6 ways, for example, as 23941449 + 109746576 = 4893^2 + 10476^2 .

It is not a de Polignac number, because 133688025 - 22 = 133688021 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (133688021) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 28657 + ... + 32993.

It is an arithmetic number, because the mean of its divisors is an integer number (6701487).

Almost surely, 2133688025 is an apocalyptic number.

133688025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

133688025 is a deficient number, since it is larger than the sum of its proper divisors (107565507).

133688025 is a wasteful number, since it uses less digits than its factorization.

133688025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4490 (or 4482 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 133688025 is about 11562.3537828593. The cubic root of 133688025 is about 511.3255597776.

The spelling of 133688025 in words is "one hundred thirty-three million, six hundred eighty-eight thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 75 137 225 411 685 1233 2055 3425 4337 6165 10275 13011 21685 30825 39033 65055 108425 195165 325275 594169 975825 1782507 2970845 5347521 8912535 14854225 26737605 44562675 133688025