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153132 = 22371823
BaseRepresentation
bin100101011000101100
321210001120
4211120230
514400012
63140540
71205310
oct453054
9253046
10153132
11a5061
1274750
1354915
143db40
153058c
hex2562c

153132 has 24 divisors (see below), whose sum is σ = 408576. Its totient is φ = 43728.

The previous prime is 153113. The next prime is 153133. The reversal of 153132 is 231351.

It is a happy number.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (153133) by changing a digit.

153132 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, 828 + ... + 995.

It is an arithmetic number, because the mean of its divisors is an integer number (17024).

2153132 is an apocalyptic number.

153132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

153132 is an abundant number, since it is smaller than the sum of its proper divisors (255444).

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

153132 is a wasteful number, since it uses less digits than its factorization.

153132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1837 (or 1835 counting only the distinct ones).

The product of its digits is 90, while the sum is 15.

The square root of 153132 is about 391.3208402322. The cubic root of 153132 is about 53.5001892444.

Adding to 153132 its reverse (231351), we get a palindrome (384483).

The spelling of 153132 in words is "one hundred fifty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 1823 3646 5469 7292 10938 12761 21876 25522 38283 51044 76566 153132