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134351800 = 235211173353
BaseRepresentation
bin10000000001000…
…00101110111000
3100100210210000121
420000200232320
5233343224200
621155343024
73220654132
oct1000405670
9310723017
10134351800
1169924550
1238bb1a74
1321ab050b
1413bb4052
15bbdce1a
hex8020bb8

134351800 has 96 divisors (see below), whose sum is σ = 343705680. Its totient is φ = 48435200.

The previous prime is 134351783. The next prime is 134351813. The reversal of 134351800 is 8153431.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 380424 + ... + 380776.

Almost surely, 2134351800 is an apocalyptic number.

134351800 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 134351800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171852840).

134351800 is an abundant number, since it is smaller than the sum of its proper divisors (209353880).

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

134351800 is a wasteful number, since it uses less digits than its factorization.

134351800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 134351800 is about 11591.0223880381. The cubic root of 134351800 is about 512.1704246300.

The spelling of 134351800 in words is "one hundred thirty-four million, three hundred fifty-one thousand, eight hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 173 200 220 275 346 353 440 550 692 706 865 1100 1384 1412 1730 1765 1903 2200 2824 3460 3530 3806 3883 4325 6920 7060 7612 7766 8650 8825 9515 14120 15224 15532 17300 17650 19030 19415 31064 34600 35300 38060 38830 47575 61069 70600 76120 77660 95150 97075 122138 155320 190300 194150 244276 305345 380600 388300 488552 610690 671759 776600 1221380 1343518 1526725 2442760 2687036 3053450 3358795 5374072 6106900 6717590 12213800 13435180 16793975 26870360 33587950 67175900 134351800