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132132121536 = 2631033366601
BaseRepresentation
bin111101100001110110…
…0000010101111000000
3110122001111220020112010
41323003230002233000
54131101310342121
6140411201532520
712355233334062
oct1730354025700
9418044806463
10132132121536
1151045157648
1221736944140
13c5c982b1cc
146576717732
153685123376
hex1ec3b02bc0

132132121536 has 56 divisors (see below), whose sum is σ = 349638654544. Its totient is φ = 44039116800.

The previous prime is 132132121487. The next prime is 132132121543. The reversal of 132132121536 is 635121231231.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1950636 + ... + 2017236.

Almost surely, 2132132121536 is an apocalyptic number.

132132121536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

132132121536 is an abundant number, since it is smaller than the sum of its proper divisors (217506533008).

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

132132121536 is a wasteful number, since it uses less digits than its factorization.

132132121536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76949 (or 76939 counting only the distinct ones).

The product of its digits is 6480, while the sum is 30.

Adding to 132132121536 its reverse (635121231231), we get a palindrome (767253352767).

The spelling of 132132121536 in words is "one hundred thirty-two billion, one hundred thirty-two million, one hundred twenty-one thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 10333 20666 30999 41332 61998 66601 82664 123996 133202 165328 199803 247992 266404 330656 399606 495984 532808 661312 799212 991968 1065616 1598424 1983936 2131232 3196848 4262464 6393696 12787392 688188133 1376376266 2064564399 2752752532 4129128798 5505505064 8258257596 11011010128 16516515192 22022020256 33033030384 44044040512 66066060768 132132121536