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131708538 = 23313373503
BaseRepresentation
bin1111101100110…
…11011001111010
3100011211111011000
413312123121322
5232204133123
621022545430
73156334623
oct766333172
9304744130
10131708538
1168389635
1238138276
1321396360
14136c6a4a
15b869b43
hex7d9b67a

131708538 has 64 divisors (see below), whose sum is σ = 316673280. Its totient is φ = 40336704.

The previous prime is 131708531. The next prime is 131708561. The reversal of 131708538 is 835807131.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (131708531) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 261595 + ... + 262097.

It is an arithmetic number, because the mean of its divisors is an integer number (4948020).

Almost surely, 2131708538 is an apocalyptic number.

131708538 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131708538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158336640).

131708538 is an abundant number, since it is smaller than the sum of its proper divisors (184964742).

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

131708538 is a wasteful number, since it uses less digits than its factorization.

131708538 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 131708538 is about 11476.4340280420. The cubic root of 131708538 is about 508.7893081368.

The spelling of 131708538 in words is "one hundred thirty-one million, seven hundred eight thousand, five hundred thirty-eight".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 351 373 503 702 746 1006 1119 1509 2238 3018 3357 4527 4849 6539 6714 9054 9698 10071 13078 13581 14547 19617 20142 27162 29094 39234 43641 58851 87282 117702 130923 176553 187619 261846 353106 375238 562857 1125714 1688571 2439047 3377142 4878094 5065713 7317141 10131426 14634282 21951423 43902846 65854269 131708538