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131497695 = 3357227613
BaseRepresentation
bin1111101011001…
…11111011011111
3100011102202221000
413311213323133
5232130411240
621014241343
73154466130
oct765477337
9304382830
10131497695
116825518a
1238056253
13213213b4
141366dc87
15b827430
hex7d67edf

131497695 has 64 divisors (see below), whose sum is σ = 268784640. Its totient is φ = 59750784.

The previous prime is 131497679. The next prime is 131497699. The reversal of 131497695 is 596794131.

It is not a de Polignac number, because 131497695 - 24 = 131497679 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 131497695.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131497699) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 214209 + ... + 214821.

It is an arithmetic number, because the mean of its divisors is an integer number (4199760).

Almost surely, 2131497695 is an apocalyptic number.

131497695 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

131497695 is an abundant number, since it is smaller than the sum of its proper divisors (137286945).

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

131497695 is a wasteful number, since it uses less digits than its factorization.

131497695 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861 (or 855 counting only the distinct ones).

The product of its digits is 204120, while the sum is 45.

The square root of 131497695 is about 11467.2444379633. The cubic root of 131497695 is about 508.5176680454.

The spelling of 131497695 in words is "one hundred thirty-one million, four hundred ninety-seven thousand, six hundred ninety-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 227 315 613 681 945 1135 1589 1839 2043 3065 3405 4291 4767 5517 6129 7945 9195 10215 12873 14301 16551 21455 23835 27585 30645 38619 42903 64365 71505 82755 115857 139151 193095 214515 417453 579285 695755 974057 1252359 2087265 2922171 3757077 4870285 6261795 8766513 14610855 18785385 26299539 43832565 131497695