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133756 = 22717281
BaseRepresentation
bin100000101001111100
320210110221
4200221330
513240011
62511124
71064650
oct405174
9223427
10133756
1191547
12654a4
1348b5c
1436a60
1529971
hex20a7c

133756 has 24 divisors (see below), whose sum is σ = 284256. Its totient is φ = 53760.

The previous prime is 133733. The next prime is 133769. The reversal of 133756 is 657331.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 133756.

It is a congruent number.

It is an unprimeable number.

133756 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 7 ways as a sum of consecutive naturals, for example, 336 + ... + 616.

It is an arithmetic number, because the mean of its divisors is an integer number (11844).

2133756 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142128).

133756 is an abundant number, since it is smaller than the sum of its proper divisors (150500).

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

133756 is a wasteful number, since it uses less digits than its factorization.

133756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 307 counting only the distinct ones).

The product of its digits is 1890, while the sum is 25.

The square root of 133756 is about 365.7266738973. The cubic root of 133756 is about 51.1412207941.

It can be divided in two parts, 13 and 3756, that multiplied together give a triangular number (48828 = T312).

The spelling of 133756 in words is "one hundred thirty-three thousand, seven hundred fifty-six".

Divisors: 1 2 4 7 14 17 28 34 68 119 238 281 476 562 1124 1967 3934 4777 7868 9554 19108 33439 66878 133756