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132139084 = 227211167367
BaseRepresentation
bin1111110000001…
…00100001001100
3100012122100202011
413320010201030
5232311422314
621040111004
73163110100
oct770044114
9305570664
10132139084
1168653060
1238305464
13214b730c
1413799900
15b9024c4
hex7e0484c

132139084 has 72 divisors (see below), whose sum is σ = 296013312. Its totient is φ = 51035040.

The previous prime is 132139069. The next prime is 132139087. The reversal of 132139084 is 480931231.

It is not an unprimeable number, because it can be changed into a prime (132139087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 359869 + ... + 360235.

It is an arithmetic number, because the mean of its divisors is an integer number (4111296).

Almost surely, 2132139084 is an apocalyptic number.

132139084 is a gapful number since it is divisible by the number (14) 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 132139084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148006656).

132139084 is an abundant number, since it is smaller than the sum of its proper divisors (163874228).

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

132139084 is a wasteful number, since it uses less digits than its factorization.

132139084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 132139084 is about 11495.1765536681. The cubic root of 132139084 is about 509.3431040236.

The spelling of 132139084 in words is "one hundred thirty-two million, one hundred thirty-nine thousand, eighty-four".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 154 167 196 308 334 367 539 668 734 1078 1169 1468 1837 2156 2338 2569 3674 4037 4676 5138 7348 8074 8183 10276 12859 16148 16366 17983 25718 28259 32732 35966 51436 56518 61289 71932 90013 113036 122578 180026 197813 245156 360052 395626 429023 674179 791252 858046 1348358 1716092 2696716 3003161 4719253 6006322 9438506 12012644 18877012 33034771 66069542 132139084