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134752100 = 225271631181
BaseRepresentation
bin10000000100000…
…10011101100100
3100101120010010112
420002002131210
5233444031400
621212112152
73224242160
oct1002023544
9311503115
10134752100
116a07827a
1239165658
1321bc0792
1413c79ca0
15bc6b835
hex8082764

134752100 has 72 divisors (see below), whose sum is σ = 336520128. Its totient is φ = 45878400.

The previous prime is 134752097. The next prime is 134752103. The reversal of 134752100 is 1257431.

It is an interprime number because it is at equal distance from previous prime (134752097) and next prime (134752103).

It is not an unprimeable number, because it can be changed into a prime (134752103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113510 + ... + 114690.

Almost surely, 2134752100 is an apocalyptic number.

134752100 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 134752100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168260064).

134752100 is an abundant number, since it is smaller than the sum of its proper divisors (201768028).

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

134752100 is a wasteful number, since it uses less digits than its factorization.

134752100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1365 (or 1358 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 134752100 is about 11608.2772192949. The cubic root of 134752100 is about 512.6785893565.

The spelling of 134752100 in words is "one hundred thirty-four million, seven hundred fifty-two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 163 175 326 350 652 700 815 1141 1181 1630 2282 2362 3260 4075 4564 4724 5705 5905 8150 8267 11410 11810 16300 16534 22820 23620 28525 29525 33068 41335 57050 59050 82670 114100 118100 165340 192503 206675 385006 413350 770012 826700 962515 1347521 1925030 2695042 3850060 4812575 5390084 6737605 9625150 13475210 19250300 26950420 33688025 67376050 134752100