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135752913 = 3229575101
BaseRepresentation
bin10000001011101…
…10110011010001
3100110102221222200
420011312303101
5234223043123
621245353413
73235611042
oct1005666321
9313387880
10135752913
116a6a119a
1239568869
132218118a
141405a8c9
15bdb8143
hex8176cd1

135752913 has 12 divisors (see below), whose sum is σ = 196192308. Its totient is φ = 90453600.

The previous prime is 135752909. The next prime is 135752941. The reversal of 135752913 is 319257531.

It can be written as a sum of positive squares in 2 ways, for example, as 7225344 + 128527569 = 2688^2 + 11337^2 .

It is not a de Polignac number, because 135752913 - 22 = 135752909 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (135752983) 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 11 ways as a sum of consecutive naturals, for example, 24063 + ... + 29163.

It is an arithmetic number, because the mean of its divisors is an integer number (16349359).

Almost surely, 2135752913 is an apocalyptic number.

It is an amenable number.

135752913 is a deficient number, since it is larger than the sum of its proper divisors (60439395).

135752913 is a wasteful number, since it uses less digits than its factorization.

135752913 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8064 (or 8061 counting only the distinct ones).

The product of its digits is 28350, while the sum is 36.

The square root of 135752913 is about 11651.3052058557. The cubic root of 135752913 is about 513.9446929343.

The spelling of 135752913 in words is "one hundred thirty-five million, seven hundred fifty-two thousand, nine hundred thirteen".

Divisors: 1 3 9 2957 5101 8871 15303 26613 45909 15083657 45250971 135752913