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134189840 = 2451798669
BaseRepresentation
bin1111111111110…
…01001100010000
3100100111112212002
413333321030100
5233323033330
621152053132
73216411011
oct777711420
9310445762
10134189840
11698238a4
1238b341a8
1321a54895
1413b71008
15bba9e45
hex7ff9310

134189840 has 40 divisors (see below), whose sum is σ = 330347160. Its totient is φ = 50518016.

The previous prime is 134189831. The next prime is 134189849. The reversal of 134189840 is 48981431.

It is an interprime number because it is at equal distance from previous prime (134189831) and next prime (134189849).

It can be written as a sum of positive squares in 4 ways, for example, as 3041536 + 131148304 = 1744^2 + 11452^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×1341898403 (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 134189794 and 134189803.

It is not an unprimeable number, because it can be changed into a prime (134189849) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47975 + ... + 50694.

It is an arithmetic number, because the mean of its divisors is an integer number (8258679).

Almost surely, 2134189840 is an apocalyptic number.

134189840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134189840 is an abundant number, since it is smaller than the sum of its proper divisors (196157320).

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

134189840 is a wasteful number, since it uses less digits than its factorization.

134189840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98699 (or 98693 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 38.

The square root of 134189840 is about 11584.0338397296. The cubic root of 134189840 is about 511.9645361179.

The spelling of 134189840 in words is "one hundred thirty-four million, one hundred eighty-nine thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 98669 197338 394676 493345 789352 986690 1578704 1677373 1973380 3354746 3946760 6709492 7893520 8386865 13418984 16773730 26837968 33547460 67094920 134189840