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134098200 = 233352191307
BaseRepresentation
bin1111111111000…
…10110100011000
3100100022220011000
413333202310120
5233312120300
621150105000
73215546565
oct777426430
9310286130
10134098200
1169770a65
1238aab160
1321a21c62
1413b4986c
15bb8cc00
hex7fe2d18

134098200 has 192 divisors, whose sum is σ = 486576000. Its totient is φ = 33851520.

The previous prime is 134098199. The next prime is 134098229. The reversal of 134098200 is 2890431.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101947 + ... + 103253.

It is an arithmetic number, because the mean of its divisors is an integer number (2534250).

Almost surely, 2134098200 is an apocalyptic number.

134098200 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 134098200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243288000).

134098200 is an abundant number, since it is smaller than the sum of its proper divisors (352477800).

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

134098200 is a wasteful number, since it uses less digits than its factorization.

134098200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1351 (or 1336 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 134098200 is about 11580.0777199464. The cubic root of 134098200 is about 511.8479671484.

It can be divided in two parts, 13409 and 8200, that added together give a square (21609 = 1472).

The spelling of 134098200 in words is "one hundred thirty-four million, ninety-eight thousand, two hundred".