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135791190 = 23251798429
BaseRepresentation
bin10000001100000…
…00001001010110
3100110111220111100
420012000021112
5234230304230
621250250530
73236130453
oct1006001126
9313456440
10135791190
116a717a27
1239586a46
1322195722
141406a82a
15bdc4660
hex8180256

135791190 has 48 divisors (see below), whose sum is σ = 355071600. Its totient is φ = 36004416.

The previous prime is 135791179. The next prime is 135791203. The reversal of 135791190 is 91197531.

It is a super-2 number, since 2×1357911902 = 36878494563232200, which contains 22 as substring.

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, 11896 + ... + 20324.

It is an arithmetic number, because the mean of its divisors is an integer number (7397325).

Almost surely, 2135791190 is an apocalyptic number.

135791190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135791190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177535800).

135791190 is an abundant number, since it is smaller than the sum of its proper divisors (219280410).

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

135791190 is a wasteful number, since it uses less digits than its factorization.

135791190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8621 (or 8618 counting only the distinct ones).

The product of its (nonzero) digits is 8505, while the sum is 36.

The square root of 135791190 is about 11652.9476957549. The cubic root of 135791190 is about 513.9929924807.

It can be divided in two parts, 135791 and 190, that added together give a triangular number (135981 = T521).

The spelling of 135791190 in words is "one hundred thirty-five million, seven hundred ninety-one thousand, one hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 179 358 537 895 1074 1611 1790 2685 3222 5370 8055 8429 16110 16858 25287 42145 50574 75861 84290 126435 151722 252870 379305 758610 1508791 3017582 4526373 7543955 9052746 13579119 15087910 22631865 27158238 45263730 67895595 135791190