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131545134 = 236712889
BaseRepresentation
bin1111101011100…
…11100000101110
3100011112012000000
413311303200232
5232133421014
621015245130
73155054340
oct765634056
9304465000
10131545134
1168287896
12380797a6
1321339b76
1413683290
15b836509
hex7d7382e

131545134 has 56 divisors (see below), whose sum is σ = 338130480. Its totient is φ = 37581408.

The previous prime is 131545109. The next prime is 131545147. The reversal of 131545134 is 431545131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 131545098 and 131545107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 3762 + ... + 16650.

Almost surely, 2131545134 is an apocalyptic number.

131545134 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131545134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169065240).

131545134 is an abundant number, since it is smaller than the sum of its proper divisors (206585346).

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

131545134 is an equidigital number, since it uses as much as digits as its factorization.

131545134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12916 (or 12901 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 131545134 is about 11469.3127082664. The cubic root of 131545134 is about 508.5788114982.

The spelling of 131545134 in words is "one hundred thirty-one million, five hundred forty-five thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 243 378 486 567 729 1134 1458 1701 3402 5103 10206 12889 25778 38667 77334 90223 116001 180446 232002 270669 348003 541338 696006 812007 1044009 1624014 2088018 2436021 3132027 4872042 6264054 7308063 9396081 14616126 18792162 21924189 43848378 65772567 131545134