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131154156 = 223271015153
BaseRepresentation
bin1111101000101…
…00000011101100
3100010210022200100
413310110003230
5232033413111
621003031100
73151535430
oct764240354
9303708610
10131154156
1168040071
1237b0b490
1321230c13
14135c09c0
15b7aa756
hex7d140ec

131154156 has 72 divisors (see below), whose sum is σ = 382715424. Its totient is φ = 37094400.

The previous prime is 131154151. The next prime is 131154157. The reversal of 131154156 is 651451131.

It is not an unprimeable number, because it can be changed into a prime (131154151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22876 + ... + 28028.

It is an arithmetic number, because the mean of its divisors is an integer number (5315492).

Almost surely, 2131154156 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131154156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191357712).

131154156 is an abundant number, since it is smaller than the sum of its proper divisors (251561268).

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

131154156 is a wasteful number, since it uses less digits than its factorization.

131154156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5271 (or 5266 counting only the distinct ones).

The product of its digits is 1800, while the sum is 27.

The square root of 131154156 is about 11452.2554983724. The cubic root of 131154156 is about 508.0744460718.

It can be divided in two parts, 13115 and 4156, that added together give a palindrome (17271).

The spelling of 131154156 in words is "one hundred thirty-one million, one hundred fifty-four thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 101 126 202 252 303 404 606 707 909 1212 1414 1818 2121 2828 3636 4242 5153 6363 8484 10306 12726 15459 20612 25452 30918 36071 46377 61836 72142 92754 108213 144284 185508 216426 324639 432852 520453 649278 1040906 1298556 1561359 2081812 3122718 3643171 4684077 6245436 7286342 9368154 10929513 14572684 18736308 21859026 32788539 43718052 65577078 131154156