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134482464 = 2533315021
BaseRepresentation
bin10000000010000…
…00101000100000
3100101001102021000
420001000220200
5233411414324
621202232000
73222040104
oct1001005040
9311042230
10134482464
1169a03736
1239055600
1321b27b2c
1413c09904
15bc169c9
hex8040a20

134482464 has 96 divisors (see below), whose sum is σ = 404974080. Its totient is φ = 43372800.

The previous prime is 134482421. The next prime is 134482487. The reversal of 134482464 is 464284431.

134482464 is a `hidden beast` number, since 134 + 482 + 46 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1344824642 = 36171066247022592, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24274 + ... + 29294.

It is an arithmetic number, because the mean of its divisors is an integer number (4218480).

Almost surely, 2134482464 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 134482464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202487040).

134482464 is an abundant number, since it is smaller than the sum of its proper divisors (270491616).

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

134482464 is a wasteful number, since it uses less digits than its factorization.

134482464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5071 (or 5057 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 134482464 is about 11596.6574494550. The cubic root of 134482464 is about 512.3364081473.

The spelling of 134482464 in words is "one hundred thirty-four million, four hundred eighty-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 72 93 96 108 124 144 186 216 248 279 288 372 432 496 558 744 837 864 992 1116 1488 1674 2232 2976 3348 4464 5021 6696 8928 10042 13392 15063 20084 26784 30126 40168 45189 60252 80336 90378 120504 135567 155651 160672 180756 241008 271134 311302 361512 466953 482016 542268 622604 723024 933906 1084536 1245208 1400859 1446048 1867812 2169072 2490416 2801718 3735624 4202577 4338144 4980832 5603436 7471248 8405154 11206872 14942496 16810308 22413744 33620616 44827488 67241232 134482464