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134356464 = 2432113701
BaseRepresentation
bin10000000001000…
…01110111110000
3100100211000102100
420000201313300
5233343401324
621155420400
73221003544
oct1000416760
9310730370
10134356464
1169928000
1238bb4700
1321ab2688
1413bb5a24
15bbde4c9
hex8021df0

134356464 has 120 divisors (see below), whose sum is σ = 414174384. Its totient is φ = 40656000.

The previous prime is 134356451. The next prime is 134356477. The reversal of 134356464 is 464653431.

134356464 is a `hidden beast` number, since 1 + 3 + 4 + 3 + 5 + 646 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (134356451) and next prime (134356477).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 191314 + ... + 192014.

Almost surely, 2134356464 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 134356464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207087192).

134356464 is an abundant number, since it is smaller than the sum of its proper divisors (279817920).

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

134356464 is a wasteful number, since it uses less digits than its factorization.

134356464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748 (or 717 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 134356464 is about 11591.2235764823. The cubic root of 134356464 is about 512.1763511980.

The spelling of 134356464 in words is "one hundred thirty-four million, three hundred fifty-six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 121 132 144 176 198 242 264 363 396 484 528 701 726 792 968 1089 1331 1402 1452 1584 1936 2103 2178 2662 2804 2904 3993 4206 4356 5324 5608 5808 6309 7711 7986 8412 8712 10648 11216 11979 12618 15422 15972 16824 17424 21296 23133 23958 25236 30844 31944 33648 46266 47916 50472 61688 63888 69399 84821 92532 95832 100944 123376 138798 169642 185064 191664 254463 277596 339284 370128 508926 555192 678568 763389 933031 1017852 1110384 1357136 1526778 1866062 2035704 2799093 3053556 3732124 4071408 5598186 6107112 7464248 8397279 11196372 12214224 14928496 16794558 22392744 33589116 44785488 67178232 134356464