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132707148 = 223723149461
BaseRepresentation
bin1111110100011…
…11001101001100
3100020201012222120
413322033031030
5232433112043
621100212540
73200664210
oct772171514
9306635876
10132707148
1168a00932
123853a150
1321655a52
14138a6940
15b9b5983
hex7e8f34c

132707148 has 96 divisors (see below), whose sum is σ = 372556800. Its totient is φ = 35946240.

The previous prime is 132707137. The next prime is 132707167. The reversal of 132707148 is 841707231.

It is a happy number.

It is a super-2 number, since 2×1327071482 = 35222374260587808, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 287638 + ... + 288098.

It is an arithmetic number, because the mean of its divisors is an integer number (3880800).

Almost surely, 2132707148 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132707148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186278400).

132707148 is an abundant number, since it is smaller than the sum of its proper divisors (239849652).

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

132707148 is a wasteful number, since it uses less digits than its factorization.

132707148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 132707148 is about 11519.8588533020. The cubic root of 132707148 is about 510.0719467895.

The spelling of 132707148 in words is "one hundred thirty-two million, seven hundred seven thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 84 92 138 149 161 276 298 322 447 461 483 596 644 894 922 966 1043 1383 1788 1844 1932 2086 2766 3129 3227 3427 4172 5532 6258 6454 6854 9681 10281 10603 12516 12908 13708 19362 20562 21206 23989 31809 38724 41124 42412 47978 63618 68689 71967 74221 95956 127236 137378 143934 148442 206067 222663 274756 287868 296884 412134 445326 480823 824268 890652 961646 1442469 1579847 1923292 2884938 3159694 4739541 5769876 6319388 9479082 11058929 18958164 22117858 33176787 44235716 66353574 132707148