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131352 = 23313421
BaseRepresentation
bin100000000100011000
320200011220
4200010120
513200402
62452040
71054644
oct400430
9220156
10131352
118a761
1264020
1347a30
1435c24
1528dbc
hex20118

131352 has 32 divisors (see below), whose sum is σ = 354480. Its totient is φ = 40320.

The previous prime is 131321. The next prime is 131357. The reversal of 131352 is 253131.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131357) by changing a digit.

131352 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, 102 + ... + 522.

2131352 is an apocalyptic number.

131352 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 131352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177240).

131352 is an abundant number, since it is smaller than the sum of its proper divisors (223128).

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

131352 is a wasteful number, since it uses less digits than its factorization.

131352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 439 counting only the distinct ones).

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

The square root of 131352 is about 362.4251646892. The cubic root of 131352 is about 50.8329791847.

Adding to 131352 its reverse (253131), we get a palindrome (384483).

It can be divided in two parts, 13 and 1352, that multiplied together give a cube (17576 = 263).

The spelling of 131352 in words is "one hundred thirty-one thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 421 842 1263 1684 2526 3368 5052 5473 10104 10946 16419 21892 32838 43784 65676 131352