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132323252528 = 24195961120943
BaseRepresentation
bin111101100111100010…
…1001001100100110000
3110122112211112200221202
41323033011021210300
54131444223040103
6140442150310332
712363044042225
oct1731705114460
9418484480852
10132323252528
1151133032145
122178a9583a8
13c62a2cb67c
146593c6b94c
153696cc9988
hex1ecf149930

132323252528 has 80 divisors (see below), whose sum is σ = 278945241600. Its totient is φ = 60606455040.

The previous prime is 132323252507. The next prime is 132323252557. The reversal of 132323252528 is 825252323231.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 132323252491 and 132323252500.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1033625 + ... + 1154567.

It is an arithmetic number, because the mean of its divisors is an integer number (3486815520).

Almost surely, 2132323252528 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 132323252528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139472620800).

132323252528 is an abundant number, since it is smaller than the sum of its proper divisors (146621989072).

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

132323252528 is a wasteful number, since it uses less digits than its factorization.

132323252528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121090 (or 121084 counting only the distinct ones).

The product of its digits is 172800, while the sum is 38.

Adding to 132323252528 its reverse (825252323231), we get a palindrome (957575575759).

The spelling of 132323252528 in words is "one hundred thirty-two billion, three hundred twenty-three million, two hundred fifty-two thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 16 19 38 59 61 76 118 122 152 236 244 304 472 488 944 976 1121 1159 2242 2318 3599 4484 4636 7198 8968 9272 14396 17936 18544 28792 57584 68381 120943 136762 241886 273524 483772 547048 967544 1094096 1935088 2297917 4595834 7135637 7377523 9191668 14271274 14755046 18383336 28542548 29510092 36766672 57085096 59020184 114170192 118040368 135577103 140172937 271154206 280345874 435273857 542308412 560691748 870547714 1084616824 1121383496 1741095428 2169233648 2242766992 3482190856 6964381712 8270203283 16540406566 33080813132 66161626264 132323252528