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135149274 = 23213312601
BaseRepresentation
bin10000000111000…
…11011011011010
3100102022021221200
420003203123122
5234044234044
621224415030
73230515131
oct1003433332
9312267850
10135149274
116a319717
1239317476
1321ccc4b0
1413d40918
15bce9369
hex80e36da

135149274 has 72 divisors (see below), whose sum is σ = 326391156. Its totient is φ = 40176000.

The previous prime is 135149249. The next prime is 135149279. The reversal of 135149274 is 472941531.

It can be written as a sum of positive squares in 2 ways, for example, as 135140625 + 8649 = 11625^2 + 93^2 .

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135149279) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 224574 + ... + 225174.

Almost surely, 2135149274 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135149274, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163195578).

135149274 is an abundant number, since it is smaller than the sum of its proper divisors (191241882).

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

135149274 is a wasteful number, since it uses less digits than its factorization.

135149274 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 650 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 135149274 is about 11625.3719940482. The cubic root of 135149274 is about 513.1817920963.

It can be divided in two parts, 1351 and 49274, that added together give a 4-th power (50625 = 154).

The spelling of 135149274 in words is "one hundred thirty-five million, one hundred forty-nine thousand, two hundred seventy-four".

Divisors: 1 2 3 6 9 13 18 26 31 39 62 78 93 117 186 234 279 403 558 601 806 961 1202 1209 1803 1922 2418 2883 3606 3627 5409 5766 7254 7813 8649 10818 12493 15626 17298 18631 23439 24986 37262 37479 46878 55893 70317 74958 111786 112437 140634 167679 224874 242203 335358 484406 577561 726609 1155122 1453218 1732683 2179827 3465366 4359654 5198049 7508293 10396098 15016586 22524879 45049758 67574637 135149274