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133175140 = 22572135893
BaseRepresentation
bin1111111000000…
…01011101100100
3100021120222221121
413330001131210
5233043101030
621114223324
73204653500
oct774013544
9307528847
10133175140
11691a04aa
1238724b44
132178aa77
1413989300
15ba5947a
hex7f01764

133175140 has 36 divisors (see below), whose sum is σ = 325330236. Its totient is φ = 45659712.

The previous prime is 133175137. The next prime is 133175143. The reversal of 133175140 is 41571331.

It is an interprime number because it is at equal distance from previous prime (133175137) and next prime (133175143).

It can be written as a sum of positive squares in 2 ways, for example, as 28153636 + 105021504 = 5306^2 + 10248^2 .

It is not an unprimeable number, because it can be changed into a prime (133175143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66967 + ... + 68926.

It is an arithmetic number, because the mean of its divisors is an integer number (9036951).

Almost surely, 2133175140 is an apocalyptic number.

133175140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133175140 is an abundant number, since it is smaller than the sum of its proper divisors (192155096).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

133175140 is a wasteful number, since it uses less digits than its factorization.

133175140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135916 (or 135907 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 133175140 is about 11540.1533785301. The cubic root of 133175140 is about 510.6708332331.

The spelling of 133175140 in words is "one hundred thirty-three million, one hundred seventy-five thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 135893 271786 543572 679465 951251 1358930 1902502 2717860 3805004 4756255 6658757 9512510 13317514 19025020 26635028 33293785 66587570 133175140