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134645400 = 2332521931127
BaseRepresentation
bin10000000011010…
…00011010011000
3100101100200202200
420001220122120
5233432123100
621205530200
73223316121
oct1001503230
9311320680
10134645400
116a00509a
1239113960
1321b84046
1413c4d048
15bc49e00
hex8068698

134645400 has 288 divisors, whose sum is σ = 495206400. Its totient is φ = 32659200.

The previous prime is 134645383. The next prime is 134645429. The reversal of 134645400 is 4546431.

134645400 is a `hidden beast` number, since 13 + 4 + 645 + 4 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1060137 + ... + 1060263.

Almost surely, 2134645400 is an apocalyptic number.

134645400 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 134645400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247603200).

134645400 is an abundant number, since it is smaller than the sum of its proper divisors (360561000).

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

134645400 is a wasteful number, since it uses less digits than its factorization.

134645400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 134645400 is about 11603.6804506157. The cubic root of 134645400 is about 512.5432364871.

The spelling of 134645400 in words is "one hundred thirty-four million, six hundred forty-five thousand, four hundred".