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132172965136 = 249729372
BaseRepresentation
bin111101100011000011…
…1110110010100010000
3110122011100202022102001
41323012013312110100
54131142234341021
6140415221203344
712356240444452
oct1730607662420
9418140668361
10132172965136
1151066213a93
1221748560554
13c60512ba14
14657bd0a2d2
1536889e0091
hex1ec61f6510

132172965136 has 45 divisors (see below), whose sum is σ = 259028834319. Its totient is φ = 65335375872.

The previous prime is 132172965103. The next prime is 132172965161. The reversal of 132172965136 is 631569271231.

The square root of 132172965136 is 363556.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 42748043536 + 89424921600 = 206756^2 + 299040^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 141059260 + ... + 141060196.

Almost surely, 2132172965136 is an apocalyptic number.

132172965136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

132172965136 is the 363556-th square number.

It is an amenable number.

132172965136 is a deficient number, since it is larger than the sum of its proper divisors (126855869183).

132172965136 is an frugal number, since it uses more digits than its factorization.

132172965136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2076 (or 1036 counting only the distinct ones).

The product of its digits is 408240, while the sum is 46.

The spelling of 132172965136 in words is "one hundred thirty-two billion, one hundred seventy-two million, nine hundred sixty-five thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 97 194 388 776 937 1552 1874 3748 7496 9409 14992 18818 37636 75272 90889 150544 181778 363556 727112 877969 1454224 1755938 3511876 7023752 8816233 14047504 17632466 35264932 70529864 85162993 141059728 170325986 340651972 681303944 1362607888 8260810321 16521620642 33043241284 66086482568 132172965136