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132331134033144 = 23327325177156399
BaseRepresentation
bin11110000101101010111110…
…001111001001110011111000
3122100112201210020221220212200
4132011222332033021303320
5114321103130303030034
61145240030030310200
736605415602101134
oct3605527617116370
9570481706856780
10132331134033144
113918a356329212
1212a127b1058360
1358aba06c48877
142496c0aa763c4
1510473831b8a99
hex785abe3c9cf8

132331134033144 has 48 divisors (see below), whose sum is σ = 363306366852000. Its totient is φ = 43506126255744.

The previous prime is 132331134033047. The next prime is 132331134033151. The reversal of 132331134033144 is 441330431133231.

132331134033144 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 311 + 3 + 4 + 0 + 331 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 132331134033099 and 132331134033108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12588572944 + ... + 12588583455.

It is an arithmetic number, because the mean of its divisors is an integer number (7568882642750).

Almost surely, 2132331134033144 is an apocalyptic number.

It is an amenable number.

132331134033144 is an abundant number, since it is smaller than the sum of its proper divisors (230975232818856).

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

132331134033144 is a wasteful number, since it uses less digits than its factorization.

132331134033144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25177156484 (or 25177156477 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

Adding to 132331134033144 its reverse (441330431133231), we get a palindrome (573661565166375).

The spelling of 132331134033144 in words is "one hundred thirty-two trillion, three hundred thirty-one billion, one hundred thirty-four million, thirty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 73 146 219 292 438 584 657 876 1314 1752 2628 5256 25177156399 50354312798 75531469197 100708625596 151062938394 201417251192 226594407591 302125876788 453188815182 604251753576 906377630364 1812755260728 1837932417127 3675864834254 5513797251381 7351729668508 11027594502762 14703459337016 16541391754143 22055189005524 33082783508286 44110378011048 66165567016572 132331134033144