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136332 = 22327541
BaseRepresentation
bin100001010010001100
320221000100
4201102030
513330312
62531100
71105320
oct412214
9227010
10136332
1193479
1266a90
134a091
1437980
152a5dc
hex2148c

136332 has 36 divisors (see below), whose sum is σ = 394576. Its totient is φ = 38880.

The previous prime is 136327. The next prime is 136333. The reversal of 136332 is 233631.

Adding to 136332 its reverse (233631), we get a palindrome (369963).

It is a happy number.

136332 is nontrivially palindromic in base 8.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (136333) by changing a digit.

136332 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 11 ways as a sum of consecutive naturals, for example, 19 + ... + 522.

2136332 is an apocalyptic number.

136332 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 136332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197288).

136332 is an abundant number, since it is smaller than the sum of its proper divisors (258244).

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

136332 is a wasteful number, since it uses less digits than its factorization.

136332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 553 counting only the distinct ones).

The product of its digits is 324, while the sum is 18.

The square root of 136332 is about 369.2316346144. The cubic root of 136332 is about 51.4674441553.

The spelling of 136332 in words is "one hundred thirty-six thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 541 1082 1623 2164 3246 3787 4869 6492 7574 9738 11361 15148 19476 22722 34083 45444 68166 136332