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135075800 = 23525312743
BaseRepresentation
bin10000000110100…
…01011111011000
3100102011120011102
420003101133120
5234034411200
621223050532
73230060666
oct1003213730
9312146142
10135075800
116a2794a2
12392a0a48
1321ca4c12
1413d21c36
15bcd26d5
hex80d17d8

135075800 has 48 divisors (see below), whose sum is σ = 320001840. Its totient is φ = 53006720.

The previous prime is 135075797. The next prime is 135075817. The reversal of 135075800 is 8570531.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4229 + ... + 16971.

It is an arithmetic number, because the mean of its divisors is an integer number (6666705).

Almost surely, 2135075800 is an apocalyptic number.

135075800 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 135075800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160000920).

135075800 is an abundant number, since it is smaller than the sum of its proper divisors (184926040).

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

135075800 is a wasteful number, since it uses less digits than its factorization.

135075800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12812 (or 12803 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 29.

The square root of 135075800 is about 11622.2114935153. The cubic root of 135075800 is about 513.0887780217.

The spelling of 135075800 in words is "one hundred thirty-five million, seventy-five thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 53 100 106 200 212 265 424 530 1060 1325 2120 2650 5300 10600 12743 25486 50972 63715 101944 127430 254860 318575 509720 637150 675379 1274300 1350758 2548600 2701516 3376895 5403032 6753790 13507580 16884475 27015160 33768950 67537900 135075800