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135630937 = 133727621
BaseRepresentation
bin10000001010110…
…01000001011001
3100110012202200001
420011121001121
5234210142222
621243013001
73234562321
oct1005310131
9313182601
10135630937
116a618592
123950a161
132213a7c0
1414028281
15bd91e27
hex8159059

135630937 has 12 divisors (see below), whose sum is σ = 150138156. Its totient is φ = 121798080.

The previous prime is 135630919. The next prime is 135630973. The reversal of 135630937 is 739036531.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 28901376 + 106729561 = 5376^2 + 10331^2 .

It is a de Polignac number, because none of the positive numbers 2k-135630937 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a junction number, because it is equal to n+sod(n) for n = 135630896 and 135630905.

It is not an unprimeable number, because it can be changed into a prime (135630917) 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, 13987 + ... + 21607.

It is an arithmetic number, because the mean of its divisors is an integer number (12511513).

Almost surely, 2135630937 is an apocalyptic number.

It is an amenable number.

135630937 is a deficient number, since it is larger than the sum of its proper divisors (14507219).

135630937 is an equidigital number, since it uses as much as digits as its factorization.

135630937 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7708 (or 7671 counting only the distinct ones).

The product of its (nonzero) digits is 51030, while the sum is 37.

The square root of 135630937 is about 11646.0695945027. The cubic root of 135630937 is about 513.7907178396.

The spelling of 135630937 in words is "one hundred thirty-five million, six hundred thirty thousand, nine hundred thirty-seven".

Divisors: 1 13 37 481 1369 7621 17797 99073 281977 3665701 10433149 135630937