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132507565740 = 223351122307671
BaseRepresentation
bin111101101101000010…
…0001111111010101100
3110200000200100210011000
41323122010033322230
54132333414100430
6140512333000300
712400442503434
oct1733204177254
9420020323130
10132507565740
1151218080410
1221820623090
13c659552844
1465b05292c4
1536a8085e60
hex1eda10feac

132507565740 has 96 divisors (see below), whose sum is σ = 449722667520. Its totient is φ = 32123044800.

The previous prime is 132507565739. The next prime is 132507565759. The reversal of 132507565740 is 47565705231.

It is a happy number.

132507565740 is a `hidden beast` number, since 1 + 3 + 2 + 5 + 0 + 75 + 6 + 574 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 11147896 + ... + 11159775.

It is an arithmetic number, because the mean of its divisors is an integer number (4684611120).

Almost surely, 2132507565740 is an apocalyptic number.

132507565740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132507565740 is an abundant number, since it is smaller than the sum of its proper divisors (317215101780).

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

132507565740 is a wasteful number, since it uses less digits than its factorization.

132507565740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22307700 (or 22307692 counting only the distinct ones).

The product of its (nonzero) digits is 882000, while the sum is 45.

The spelling of 132507565740 in words is "one hundred thirty-two billion, five hundred seven million, five hundred sixty-five thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 132 135 165 180 198 220 270 297 330 396 495 540 594 660 990 1188 1485 1980 2970 5940 22307671 44615342 66923013 89230684 111538355 133846026 200769039 223076710 245384381 267692052 334615065 401538078 446153420 490768762 602307117 669230130 736153143 803076156 981537524 1003845195 1204614234 1226921905 1338460260 1472306286 2007690390 2208459429 2409228468 2453843810 2944612572 3011535585 3680765715 4015380780 4416918858 4907687620 6023071170 6625378287 7361531430 8833837716 11042297145 12046142340 13250756574 14723062860 22084594290 26501513148 33126891435 44169188580 66253782870 132507565740