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134454900 = 223521273529
BaseRepresentation
bin10000000001110…
…01111001110100
3100101000000110010
420000321321310
5233410024100
621201500220
73221563536
oct1000717164
9311000403
10134454900
1169994a58
1239041670
1321b18418
1413bdd856
15bc0d750
hex8039e74

134454900 has 72 divisors (see below), whose sum is σ = 392197120. Its totient is φ = 35562240.

The previous prime is 134454893. The next prime is 134454907. The reversal of 134454900 is 9454431.

It is an interprime number because it is at equal distance from previous prime (134454893) and next prime (134454907).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134454907) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36336 + ... + 39864.

Almost surely, 2134454900 is an apocalyptic number.

134454900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134454900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196098560).

134454900 is an abundant number, since it is smaller than the sum of its proper divisors (257742220).

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

134454900 is a wasteful number, since it uses less digits than its factorization.

134454900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3673 (or 3666 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 134454900 is about 11595.4689426517. The cubic root of 134454900 is about 512.3014023300.

The spelling of 134454900 in words is "one hundred thirty-four million, four hundred fifty-four thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 127 150 254 300 381 508 635 762 1270 1524 1905 2540 3175 3529 3810 6350 7058 7620 9525 10587 12700 14116 17645 19050 21174 35290 38100 42348 52935 70580 88225 105870 176450 211740 264675 352900 448183 529350 896366 1058700 1344549 1792732 2240915 2689098 4481830 5378196 6722745 8963660 11204575 13445490 22409150 26890980 33613725 44818300 67227450 134454900