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134532480 = 2735411709
BaseRepresentation
bin10000000010011…
…00110110000000
3100101010221212110
420001030312000
5233420014410
621203255320
73222335655
oct1001146600
9311127773
10134532480
1169a38275
123907a540
1321b44824
1413c1dc2c
15bc26720
hex804cd80

134532480 has 128 divisors (see below), whose sum is σ = 439538400. Its totient is φ = 34979840.

The previous prime is 134532469. The next prime is 134532499. The reversal of 134532480 is 84235431.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77866 + ... + 79574.

Almost surely, 2134532480 is an apocalyptic number.

134532480 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 134532480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219769200).

134532480 is an abundant number, since it is smaller than the sum of its proper divisors (305005920).

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

134532480 is a wasteful number, since it uses less digits than its factorization.

134532480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1772 (or 1760 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 134532480 is about 11598.8137324470. The cubic root of 134532480 is about 512.3999154154.

The spelling of 134532480 in words is "one hundred thirty-four million, five hundred thirty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 41 48 60 64 80 82 96 120 123 128 160 164 192 205 240 246 320 328 384 410 480 492 615 640 656 820 960 984 1230 1312 1640 1709 1920 1968 2460 2624 3280 3418 3936 4920 5127 5248 6560 6836 7872 8545 9840 10254 13120 13672 15744 17090 19680 20508 25635 26240 27344 34180 39360 41016 51270 54688 68360 70069 78720 82032 102540 109376 136720 140138 164064 205080 210207 218752 273440 280276 328128 350345 410160 420414 546880 560552 656256 700690 820320 840828 1051035 1093760 1121104 1401380 1640640 1681656 2102070 2242208 2802760 3281280 3363312 4204140 4484416 5605520 6726624 8408280 8968832 11211040 13453248 16816560 22422080 26906496 33633120 44844160 67266240 134532480