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134295952 = 24719223283
BaseRepresentation
bin10000000000100…
…11000110010000
3100100200221102011
420000103012100
5233334432302
621154232304
73220332250
oct1000230620
9310627364
10134295952
116989659a
1238b85694
1321a90c7b
1413b9b960
15bbcb5d7
hex8013190

134295952 has 80 divisors (see below), whose sum is σ = 315535360. Its totient is φ = 54089856.

The previous prime is 134295929. The next prime is 134295961. The reversal of 134295952 is 259592431.

Its product of digits (97200) is a multiple of the sum of its prime factors (540).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 474403 + ... + 474685.

It is an arithmetic number, because the mean of its divisors is an integer number (3944192).

Almost surely, 2134295952 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 134295952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157767680).

134295952 is an abundant number, since it is smaller than the sum of its proper divisors (181239408).

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

134295952 is a wasteful number, since it uses less digits than its factorization.

134295952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 534 counting only the distinct ones).

The product of its digits is 97200, while the sum is 40.

The square root of 134295952 is about 11588.6130317653. The cubic root of 134295952 is about 512.0994476423.

The spelling of 134295952 in words is "one hundred thirty-four million, two hundred ninety-five thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 112 133 152 223 266 283 304 446 532 566 892 1064 1132 1561 1784 1981 2128 2264 3122 3568 3962 4237 4528 5377 6244 7924 8474 10754 12488 15848 16948 21508 24976 29659 31696 33896 37639 43016 59318 63109 67792 75278 86032 118636 126218 150556 237272 252436 301112 441763 474544 504872 602224 883526 1009744 1199071 1767052 2398142 3534104 4796284 7068208 8393497 9592568 16786994 19185136 33573988 67147976 134295952