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133956 = 2232612
BaseRepresentation
bin100000101101000100
320210202100
4200231010
513241311
62512100
71065354
oct405504
9223670
10133956
1191709
1265630
1348c84
1436b64
1529a56
hex20b44

133956 has 27 divisors (see below), whose sum is σ = 344253. Its totient is φ = 43920.

The previous prime is 133949. The next prime is 133963. The reversal of 133956 is 659331.

133956 = T365 + T366.

The square root of 133956 is 366.

It is a perfect power (a square), and thus also a powerful number.

133956 is nontrivially palindromic in base 8 and base 13.

It is an interprime number because it is at equal distance from previous prime (133949) and next prime (133963).

It can be written as a sum of positive squares in only one way, i.e., 4356 + 129600 = 66^2 + 360^2 .

It is an unprimeable number.

133956 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2166 + ... + 2226.

133956 is a Friedman number, since it can be written as (61*(9-3))^(5-3), using all its digits and the basic arithmetic operations.

2133956 is an apocalyptic number.

133956 is the 366-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133956

133956 is an abundant number, since it is smaller than the sum of its proper divisors (210297).

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

133956 is a wasteful number, since it uses less digits than its factorization.

133956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 66 counting only the distinct ones).

The product of its digits is 2430, while the sum is 27.

The cubic root of 133956 is about 51.1666979078.

It can be divided in two parts, 133 and 956, that added together give a square (1089 = 332).

The spelling of 133956 in words is "one hundred thirty-three thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 244 366 549 732 1098 2196 3721 7442 11163 14884 22326 33489 44652 66978 133956