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134516448 = 25321142461
BaseRepresentation
bin10000000010010…
…00111011100000
3100101010010212200
420001020323200
5233414011243
621203053200
73222241143
oct1001107340
9311103780
10134516448
1169a27220
1239071200
1321b3a441
1413c1805a
15bc21ad3
hex8048ee0

134516448 has 72 divisors (see below), whose sum is σ = 417316536. Its totient is φ = 40761600.

The previous prime is 134516429. The next prime is 134516477. The reversal of 134516448 is 844615431.

134516448 is a `hidden beast` number, since 1 + 3 + 4 + 5 + 1 + 644 + 8 = 666.

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

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 11 ways as a sum of consecutive naturals, for example, 18063 + ... + 24398.

It is an arithmetic number, because the mean of its divisors is an integer number (5796063).

Almost surely, 2134516448 is an apocalyptic number.

134516448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

134516448 is an abundant number, since it is smaller than the sum of its proper divisors (282800088).

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

134516448 is a wasteful number, since it uses less digits than its factorization.

134516448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42488 (or 42477 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 134516448 is about 11598.1226066980. The cubic root of 134516448 is about 512.3795606734.

The spelling of 134516448 in words is "one hundred thirty-four million, five hundred sixteen thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 42461 84922 127383 169844 254766 339688 382149 467071 509532 679376 764298 934142 1019064 1358752 1401213 1528596 1868284 2038128 2802426 3057192 3736568 4076256 4203639 5604852 6114384 7473136 8407278 11209704 12228768 14946272 16814556 22419408 33629112 44838816 67258224 134516448