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135657 = 3215073
BaseRepresentation
bin100001000111101001
320220002100
4201013221
513320112
62524013
71103334
oct410751
9226070
10135657
1192a15
1266609
1349992
143761b
152a2dc
hex211e9

135657 has 6 divisors (see below), whose sum is σ = 195962. Its totient is φ = 90432.

The previous prime is 135649. The next prime is 135661. The reversal of 135657 is 756531.

135657 is a `hidden beast` number, since 1 + 3 + 5 + 657 = 666.

It can be written as a sum of positive squares in only one way, i.e., 114921 + 20736 = 339^2 + 144^2 .

It is not a de Polignac number, because 135657 - 23 = 135649 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 135657.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135607) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7528 + ... + 7545.

2135657 is an apocalyptic number.

It is an amenable number.

135657 is a deficient number, since it is larger than the sum of its proper divisors (60305).

135657 is a wasteful number, since it uses less digits than its factorization.

135657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15079 (or 15076 counting only the distinct ones).

The product of its digits is 3150, while the sum is 27.

The square root of 135657 is about 368.3164400349. The cubic root of 135657 is about 51.3823625941.

The spelling of 135657 in words is "one hundred thirty-five thousand, six hundred fifty-seven".

Divisors: 1 3 9 15073 45219 135657