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136032 = 25313109
BaseRepresentation
bin100001001101100000
320220121020
4201031200
513323112
62525440
71104411
oct411540
9226536
10136032
1193226
1266880
1349bc0
1437808
152a48c
hex21360

136032 has 48 divisors (see below), whose sum is σ = 388080. Its totient is φ = 41472.

The previous prime is 136027. The next prime is 136033. The reversal of 136032 is 230631.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136033) by changing a digit.

136032 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, 1194 + ... + 1302.

It is an arithmetic number, because the mean of its divisors is an integer number (8085).

2136032 is an apocalyptic number.

136032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194040).

136032 is an abundant number, since it is smaller than the sum of its proper divisors (252048).

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

136032 is a wasteful number, since it uses less digits than its factorization.

136032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 136032 is about 368.8251618315. The cubic root of 136032 is about 51.4296648797.

Adding to 136032 its reverse (230631), we get a palindrome (366663).

The spelling of 136032 in words is "one hundred thirty-six thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 109 156 208 218 312 327 416 436 624 654 872 1248 1308 1417 1744 2616 2834 3488 4251 5232 5668 8502 10464 11336 17004 22672 34008 45344 68016 136032