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136119800 = 235219113317
BaseRepresentation
bin10000001110100…
…00010111111000
3100111010121021002
420013100113320
5234321313200
621301304132
73241666505
oct1007202770
9314117232
10136119800
116a921903
1239705048
132227c17b
14141144ac
15be3bbd5
hex81d05f8

136119800 has 96 divisors (see below), whose sum is σ = 337143600. Its totient is φ = 50964480.

The previous prime is 136119757. The next prime is 136119827. The reversal of 136119800 is 8911631.

It is a happy number.

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, 429242 + ... + 429558.

Almost surely, 2136119800 is an apocalyptic number.

136119800 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 136119800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168571800).

136119800 is an abundant number, since it is smaller than the sum of its proper divisors (201023800).

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

136119800 is a wasteful number, since it uses less digits than its factorization.

136119800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 29.

The square root of 136119800 is about 11667.0390416763. The cubic root of 136119800 is about 514.4072735875.

The spelling of 136119800 in words is "one hundred thirty-six million, one hundred nineteen thousand, eight hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 113 152 190 200 226 317 380 452 475 565 634 760 904 950 1130 1268 1585 1900 2147 2260 2536 2825 3170 3800 4294 4520 5650 6023 6340 7925 8588 10735 11300 12046 12680 15850 17176 21470 22600 24092 30115 31700 35821 42940 48184 53675 60230 63400 71642 85880 107350 120460 143284 150575 179105 214700 240920 286568 301150 358210 429400 602300 680599 716420 895525 1204600 1361198 1432840 1791050 2722396 3402995 3582100 5444792 6805990 7164200 13611980 17014975 27223960 34029950 68059900 136119800