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132867126 = 23272199757
BaseRepresentation
bin1111110101101…
…10010000110110
3100021000100102200
413322312100312
5233003222001
621103445330
73202231500
oct772662066
9307010380
10132867126
1169000047
12385b6846
13216b0802
1413908d70
15b9e8086
hex7eb6436

132867126 has 72 divisors (see below), whose sum is σ = 337006800. Its totient is φ = 37721376.

The previous prime is 132867107. The next prime is 132867127. The reversal of 132867126 is 621768231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132867127) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 175140 + ... + 175896.

It is an arithmetic number, because the mean of its divisors is an integer number (4680650).

Almost surely, 2132867126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132867126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168503400).

132867126 is an abundant number, since it is smaller than the sum of its proper divisors (204139674).

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

132867126 is a wasteful number, since it uses less digits than its factorization.

132867126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978 (or 968 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 132867126 is about 11526.8003366069. The cubic root of 132867126 is about 510.2768277961.

The spelling of 132867126 in words is "one hundred thirty-two million, eight hundred sixty-seven thousand, one hundred twenty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 199 294 398 441 597 757 882 1194 1393 1514 1791 2271 2786 3582 4179 4542 5299 6813 8358 9751 10598 12537 13626 15897 19502 25074 29253 31794 37093 47691 58506 74186 87759 95382 111279 150643 175518 222558 301286 333837 451929 667674 903858 1054501 1355787 2109002 2711574 3163503 6327006 7381507 9490509 14763014 18981018 22144521 44289042 66433563 132867126