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132765542144 = 283131095381
BaseRepresentation
bin111101110100101110…
…0010110011100000000
3110200200122210100020122
41323221130112130000
54133400434322034
6140554110155412
712410024326304
oct1735134263400
9420618710218
10132765542144
115133a761954
1221892ab2b68
13c69ab289c1
1465d68bdd04
1536c0a4362e
hex1ee9716700

132765542144 has 72 divisors (see below), whose sum is σ = 273700103040. Its totient is φ = 64208793600.

The previous prime is 132765542101. The next prime is 132765542269. The reversal of 132765542144 is 441245567231.

It is a junction number, because it is equal to n+sod(n) for n = 132765542095 and 132765542104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24670334 + ... + 24675714.

It is an arithmetic number, because the mean of its divisors is an integer number (3801390320).

Almost surely, 2132765542144 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 132765542144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136850051520).

132765542144 is an abundant number, since it is smaller than the sum of its proper divisors (140934560896).

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

132765542144 is an equidigital number, since it uses as much as digits as its factorization.

132765542144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8537 (or 8523 counting only the distinct ones).

The product of its digits is 806400, while the sum is 44.

The spelling of 132765542144 in words is "one hundred thirty-two billion, seven hundred sixty-five million, five hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 256 496 992 1984 3109 3968 5381 6218 7936 10762 12436 21524 24872 43048 49744 86096 96379 99488 166811 172192 192758 198976 333622 344384 385516 397952 667244 688768 771032 795904 1334488 1377536 1542064 2668976 3084128 5337952 6168256 10675904 12336512 16729529 21351808 24673024 33459058 42703616 66918116 133836232 267672464 518615399 535344928 1037230798 1070689856 2074461596 2141379712 4148923192 4282759424 8297846384 16595692768 33191385536 66382771072 132765542144