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131540552 = 231121310453
BaseRepresentation
bin1111101011100…
…10011001001000
3100011111221201022
413311302121020
5232133244202
621015212012
73155035103
oct765623110
9304457638
10131540552
1168284400
1238077008
1321337a60
141368173a
15b834ea2
hex7d72648

131540552 has 48 divisors (see below), whose sum is σ = 291980220. Its totient is φ = 55186560.

The previous prime is 131540551. The next prime is 131540573. The reversal of 131540552 is 255045131.

It can be written as a sum of positive squares in 2 ways, for example, as 129367876 + 2172676 = 11374^2 + 1474^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (131540551) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7358 + ... + 17810.

Almost surely, 2131540552 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 131540552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145990110).

131540552 is an abundant number, since it is smaller than the sum of its proper divisors (160439668).

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

131540552 is a wasteful number, since it uses less digits than its factorization.

131540552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10494 (or 10479 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 26.

The square root of 131540552 is about 11469.1129561096. The cubic root of 131540552 is about 508.5729064649.

Adding to 131540552 its reverse (255045131), we get a palindrome (386585683).

The spelling of 131540552 in words is "one hundred thirty-one million, five hundred forty thousand, five hundred fifty-two".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 121 143 242 286 484 572 968 1144 1573 3146 6292 10453 12584 20906 41812 83624 114983 135889 229966 271778 459932 543556 919864 1087112 1264813 1494779 2529626 2989558 5059252 5979116 10118504 11958232 16442569 32885138 65770276 131540552