Search a number
-
+
132000075126 = 232371371446703
BaseRepresentation
bin111101011101111010…
…0010100110101110110
3110121201022102120220100
41322323310110311312
54130314004401001
6140350123414530
712352041061113
oct1727364246566
9417638376810
10132000075126
1150a87668187
12216ba684446
13c5a837713a
146562d8390a
15367873d586
hex1ebbd14d76

132000075126 has 48 divisors (see below), whose sum is σ = 295874115264. Its totient is φ = 42498317952.

The previous prime is 132000075113. The next prime is 132000075161. The reversal of 132000075126 is 621570000231.

It is a happy number.

132000075126 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1320000751263 (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 132000075126.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 632110 + ... + 814593.

It is an arithmetic number, because the mean of its divisors is an integer number (6164044068).

Almost surely, 2132000075126 is an apocalyptic number.

132000075126 is an abundant number, since it is smaller than the sum of its proper divisors (163874040138).

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

132000075126 is a wasteful number, since it uses less digits than its factorization.

132000075126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446885 (or 1446882 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

Adding to 132000075126 its reverse (621570000231), we get a palindrome (753570075357).

The spelling of 132000075126 in words is "one hundred thirty-two billion, seventy-five thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 18 37 74 111 137 222 274 333 411 666 822 1233 2466 5069 10138 15207 30414 45621 91242 1446703 2893406 4340109 8680218 13020327 26040654 53528011 107056022 160584033 198198311 321168066 396396622 481752099 594594933 963504198 1189189866 1783784799 3567569598 7333337507 14666675014 22000012521 44000025042 66000037563 132000075126