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131958 = 2327331
BaseRepresentation
bin100000001101110110
320201000100
4200031312
513210313
62454530
71056501
oct401566
9221010
10131958
1190162
1264446
13480a8
1436138
1529173
hex20376

131958 has 12 divisors (see below), whose sum is σ = 285948. Its totient is φ = 43980.

The previous prime is 131947. The next prime is 131959. The reversal of 131958 is 859131.

131958 is nontrivially palindromic in base 7 and base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131959) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3648 + ... + 3683.

It is an arithmetic number, because the mean of its divisors is an integer number (23829).

2131958 is an apocalyptic number.

131958 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

131958 is an abundant number, since it is smaller than the sum of its proper divisors (153990).

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

131958 is a wasteful number, since it uses less digits than its factorization.

131958 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7339 (or 7336 counting only the distinct ones).

The product of its digits is 1080, while the sum is 27.

The square root of 131958 is about 363.2602372955. The cubic root of 131958 is about 50.9110328959.

It can be divided in two parts, 13195 and 8, that added together give a triangular number (13203 = T162).

The spelling of 131958 in words is "one hundred thirty-one thousand, nine hundred fifty-eight".