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132146742 = 237131731399
BaseRepresentation
bin1111110000001…
…10011000110110
3100012122202020210
413320012120312
5232312143432
621040210250
73163141320
oct770063066
9305582223
10132146742
1168658892
1238309986
13214ba950
141379c610
15b9048cc
hex7e06636

132146742 has 64 divisors (see below), whose sum is σ = 327398400. Its totient is φ = 34625664.

The previous prime is 132146723. The next prime is 132146747. The reversal of 132146742 is 247641231.

It is a super-2 number, since 2×1321467422 = 34925522842429128, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132146747) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93759 + ... + 95157.

It is an arithmetic number, because the mean of its divisors is an integer number (5115600).

Almost surely, 2132146742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132146742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163699200).

132146742 is an abundant number, since it is smaller than the sum of its proper divisors (195251658).

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

132146742 is a wasteful number, since it uses less digits than its factorization.

132146742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1597.

The product of its digits is 8064, while the sum is 30.

The square root of 132146742 is about 11495.5096450745. The cubic root of 132146742 is about 509.3529433384.

Adding to 132146742 its reverse (247641231), we get a palindrome (379787973).

The spelling of 132146742 in words is "one hundred thirty-two million, one hundred forty-six thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 173 182 273 346 519 546 1038 1211 1399 2249 2422 2798 3633 4197 4498 6747 7266 8394 9793 13494 15743 18187 19586 29379 31486 36374 47229 54561 58758 94458 109122 127309 242027 254618 381927 484054 726081 763854 1452162 1694189 3146351 3388378 5082567 6292702 9439053 10165134 18878106 22024457 44048914 66073371 132146742