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132525315120 = 24351150198983
BaseRepresentation
bin111101101101100011…
…1111101010000110000
3110200001220202112201110
41323123013331100300
54132402440040440
6140514205233320
712401046410052
oct1733307752060
9420056675643
10132525315120
11512270a3820
1221826562840
13c660128733
1465b2a298d2
1536a98e0080
hex1edb1fd430

132525315120 has 80 divisors (see below), whose sum is σ = 448176529152. Its totient is φ = 32127348480.

The previous prime is 132525315103. The next prime is 132525315121. The reversal of 132525315120 is 21513525231.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1325253151202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (132525315121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25096852 + ... + 25102131.

Almost surely, 2132525315120 is an apocalyptic number.

132525315120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132525315120 is an abundant number, since it is smaller than the sum of its proper divisors (315651214032).

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

132525315120 is a wasteful number, since it uses less digits than its factorization.

132525315120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50199010 (or 50199004 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The spelling of 132525315120 in words is "one hundred thirty-two billion, five hundred twenty-five million, three hundred fifteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 50198983 100397966 150596949 200795932 250994915 301193898 401591864 501989830 552188813 602387796 752984745 803183728 1003979660 1104377626 1204775592 1505969490 1656566439 2007959320 2208755252 2409551184 2760944065 3011938980 3313132878 4015918640 4417510504 5521888130 6023877960 6626265756 8282832195 8835021008 11043776260 12047755920 13252531512 16565664390 22087552520 26505063024 33131328780 44175105040 66262657560 132525315120