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134144406 = 232115911483
BaseRepresentation
bin1111111111011…
…10000110010110
3100100102020112100
413333232012112
5233320110111
621151102530
73216131364
oct777560626
9310366470
10134144406
11697a2750
1238b11a46
1321a39cb6
1413b5c634
15bb9b756
hex7fee196

134144406 has 48 divisors (see below), whose sum is σ = 322470720. Its totient is φ = 39957360.

The previous prime is 134144383. The next prime is 134144407. The reversal of 134144406 is 604441431.

It is a super-2 number, since 2×1341444062 = 35989443322185672, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 134144406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134144407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5941 + ... + 17423.

It is an arithmetic number, because the mean of its divisors is an integer number (6718140).

Almost surely, 2134144406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134144406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161235360).

134144406 is an abundant number, since it is smaller than the sum of its proper divisors (188326314).

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

134144406 is a wasteful number, since it uses less digits than its factorization.

134144406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11561 (or 11558 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 134144406 is about 11582.0726124472. The cubic root of 134144406 is about 511.9067492729.

Adding to 134144406 its reverse (604441431), we get a palindrome (738585837).

The spelling of 134144406 in words is "one hundred thirty-four million, one hundred forty-four thousand, four hundred six".

Divisors: 1 2 3 6 9 11 18 22 33 59 66 99 118 177 198 354 531 649 1062 1298 1947 3894 5841 11483 11682 22966 34449 68898 103347 126313 206694 252626 378939 677497 757878 1136817 1354994 2032491 2273634 4064982 6097473 7452467 12194946 14904934 22357401 44714802 67072203 134144406