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132131544 = 23353109953
BaseRepresentation
bin1111110000000…
…10101011011000
3100012121222101220
413320002223120
5232311202134
621040012040
73163046106
oct770025330
9305558356
10132131544
1168648426
1238301020
13214b3a5c
1413796c76
15b900149
hex7e02ad8

132131544 has 64 divisors (see below), whose sum is σ = 340005600. Its totient is φ = 42771456.

The previous prime is 132131521. The next prime is 132131563. The reversal of 132131544 is 445131231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 138172 + ... + 139124.

Almost surely, 2132131544 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 132131544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170002800).

132131544 is an abundant number, since it is smaller than the sum of its proper divisors (207874056).

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

132131544 is a wasteful number, since it uses less digits than its factorization.

132131544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1124 (or 1120 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 132131544 is about 11494.8485853447. The cubic root of 132131544 is about 509.3334159486. Note that the first 3 decimals are identical.

Adding to 132131544 its reverse (445131231), we get a palindrome (577262775).

The spelling of 132131544 in words is "one hundred thirty-two million, one hundred thirty-one thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 53 106 109 159 212 218 318 327 424 436 636 654 872 953 1272 1308 1906 2616 2859 3812 5718 5777 7624 11436 11554 17331 22872 23108 34662 46216 50509 69324 101018 103877 138648 151527 202036 207754 303054 311631 404072 415508 606108 623262 831016 1212216 1246524 2493048 5505481 11010962 16516443 22021924 33032886 44043848 66065772 132131544