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134973504 = 2632317559
BaseRepresentation
bin10000000101110…
…00100001000000
3100101222100211200
420002320201000
5234023123004
621220541200
73226153521
oct1002704100
9311870750
10134973504
116a209656
1239251800
1321c6a4a3
1413cd6848
15bcb2239
hex80b8840

134973504 has 84 divisors (see below), whose sum is σ = 399409920. Its totient is φ = 43534080.

The previous prime is 134973497. The next prime is 134973547. The reversal of 134973504 is 405379431.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 14077 + ... + 21635.

It is an arithmetic number, because the mean of its divisors is an integer number (4754880).

Almost surely, 2134973504 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 134973504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199704960).

134973504 is an abundant number, since it is smaller than the sum of its proper divisors (264436416).

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

134973504 is a wasteful number, since it uses less digits than its factorization.

134973504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7608 (or 7595 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 134973504 is about 11617.8097763735. The cubic root of 134973504 is about 512.9592206792.

The spelling of 134973504 in words is "one hundred thirty-four million, nine hundred seventy-three thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 144 186 192 248 279 288 372 496 558 576 744 992 1116 1488 1984 2232 2976 4464 5952 7559 8928 15118 17856 22677 30236 45354 60472 68031 90708 120944 136062 181416 234329 241888 272124 362832 468658 483776 544248 702987 725664 937316 1088496 1405974 1451328 1874632 2108961 2176992 2811948 3749264 4217922 4353984 5623896 7498528 8435844 11247792 14997056 16871688 22495584 33743376 44991168 67486752 134973504