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134781192 = 23337136857
BaseRepresentation
bin10000000100010…
…01100100001000
3100101121121001000
420002021210020
5234000444232
621212455000
73224423040
oct1002114410
9311547030
10134781192
116a098117
123917a460
1321c00ab0
1413c86720
15bc7527c
hex8089908

134781192 has 128 divisors (see below), whose sum is σ = 460857600. Its totient is φ = 35541504.

The previous prime is 134781181. The next prime is 134781197. The reversal of 134781192 is 291187431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134781197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16228 + ... + 23084.

It is an arithmetic number, because the mean of its divisors is an integer number (3600450).

Almost surely, 2134781192 is an apocalyptic number.

134781192 is a gapful number since it is divisible by the number (12) 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 134781192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230428800).

134781192 is an abundant number, since it is smaller than the sum of its proper divisors (326076408).

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

134781192 is a wasteful number, since it uses less digits than its factorization.

134781192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6892 (or 6882 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 134781192 is about 11609.5302230538. The cubic root of 134781192 is about 512.7154812301.

The spelling of 134781192 in words is "one hundred thirty-four million, seven hundred eighty-one thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 27 28 36 39 42 52 54 56 63 72 78 84 91 104 108 117 126 156 168 182 189 216 234 252 273 312 351 364 378 468 504 546 702 728 756 819 936 1092 1404 1512 1638 2184 2457 2808 3276 4914 6552 6857 9828 13714 19656 20571 27428 41142 47999 54856 61713 82284 89141 95998 123426 143997 164568 178282 185139 191996 246852 267423 287994 356564 370278 383992 431991 493704 534846 575988 623987 713128 740556 802269 863982 1069692 1151976 1247974 1295973 1481112 1604538 1727964 1871961 2139384 2406807 2495948 2591946 3209076 3455928 3743922 4813614 4991896 5183892 5615883 6418152 7487844 9627228 10367784 11231766 14975688 16847649 19254456 22463532 33695298 44927064 67390596 134781192