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132125002304 = 2611331358369
BaseRepresentation
bin111101100001101000…
…0111000101001000000
3110122001000111112202212
41323003100320221000
54131043000033204
6140410345201252
712355115663231
oct1730320705100
9418030445685
10132125002304
1151041134889
1221734490228
13c5c8207949
1465757c3088
1536846b8c6e
hex1ec3438a40

132125002304 has 56 divisors (see below), whose sum is σ = 265355390040. Its totient is φ = 65267564544.

The previous prime is 132125002297. The next prime is 132125002343. The reversal of 132125002304 is 403200521231.

It can be written as a sum of positive squares in 4 ways, for example, as 9148539904 + 122976462400 = 95648^2 + 350680^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 132125002304.

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, 2234432 + ... + 2292800.

Almost surely, 2132125002304 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 132125002304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132677695020).

132125002304 is an abundant number, since it is smaller than the sum of its proper divisors (133230387736).

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

132125002304 is a wasteful number, since it uses less digits than its factorization.

132125002304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58807 (or 58797 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

Adding to 132125002304 its reverse (403200521231), we get a palindrome (535325523535).

The spelling of 132125002304 in words is "one hundred thirty-two billion, one hundred twenty-five million, two thousand, three hundred four".

Divisors: 1 2 4 8 16 32 64 113 226 313 452 626 904 1252 1808 2504 3616 5008 7232 10016 20032 35369 58369 70738 116738 141476 233476 282952 466952 565904 933904 1131808 1867808 2263616 3735616 6595697 13191394 18269497 26382788 36538994 52765576 73077988 105531152 146155976 211062304 292311952 422124608 584623904 1169247808 2064453161 4128906322 8257812644 16515625288 33031250576 66062501152 132125002304