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134201952 = 2532617639
BaseRepresentation
bin1111111111111…
…00001001100000
3100100112011110200
413333330021200
5233323430302
621152225200
73216461223
oct777741140
9310464420
10134201952
1169831a05
1238b3b200
1321a5a251
1413b755ba
15bbad81c
hex7ffc260

134201952 has 72 divisors (see below), whose sum is σ = 387943920. Its totient is φ = 43994880.

The previous prime is 134201917. The next prime is 134201957. The reversal of 134201952 is 259102431.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×1342019522 = 36020327841220608, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134201957) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13749 + ... + 21387.

It is an arithmetic number, because the mean of its divisors is an integer number (5388110).

Almost surely, 2134201952 is an apocalyptic number.

134201952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134201952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193971960).

134201952 is an abundant number, since it is smaller than the sum of its proper divisors (253741968).

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

134201952 is a wasteful number, since it uses less digits than its factorization.

134201952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7716 (or 7705 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 134201952 is about 11584.5566164614. The cubic root of 134201952 is about 511.9799389926.

The spelling of 134201952 in words is "one hundred thirty-four million, two hundred one thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 72 96 122 144 183 244 288 366 488 549 732 976 1098 1464 1952 2196 2928 4392 5856 7639 8784 15278 17568 22917 30556 45834 61112 68751 91668 122224 137502 183336 244448 275004 366672 465979 550008 733344 931958 1100016 1397937 1863916 2200032 2795874 3727832 4193811 5591748 7455664 8387622 11183496 14911328 16775244 22366992 33550488 44733984 67100976 134201952