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132145532412520 = 23511227302795953
BaseRepresentation
bin11110000010111110000111…
…100001001010001001101000
3122022212222201100202200201111
4132002332013201022021220
5114310033022244200040
61145014453003400104
736556125324254434
oct3602760741121150
9568788640680644
10132145532412520
1139118673024600
12129a2833523034
135897368930303
14248bc40d2d9c4
15104261dd1adea
hex782f8784a268

132145532412520 has 48 divisors (see below), whose sum is σ = 326814467569380. Its totient is φ = 48052920875520.

The previous prime is 132145532412473. The next prime is 132145532412533. The reversal of 132145532412520 is 25214235541231.

It can be written as a sum of positive squares in 2 ways, for example, as 123069159071716 + 9076373340804 = 11093654^2 + 3012702^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 13651393137 + ... + 13651402816.

Almost surely, 2132145532412520 is an apocalyptic number.

132145532412520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132145532412520 is an abundant number, since it is smaller than the sum of its proper divisors (194668935156860).

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

132145532412520 is a wasteful number, since it uses less digits than its factorization.

132145532412520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27302795986 (or 27302795971 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 40.

Adding to 132145532412520 its reverse (25214235541231), we get a palindrome (157359767953751).

The spelling of 132145532412520 in words is "one hundred thirty-two trillion, one hundred forty-five billion, five hundred thirty-two million, four hundred twelve thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 968 1210 2420 4840 27302795953 54605591906 109211183812 136513979765 218422367624 273027959530 300330755483 546055919060 600661510966 1092111838120 1201323021932 1501653777415 2402646043864 3003307554830 3303638310313 6006615109660 6607276620626 12013230219320 13214553241252 16518191551565 26429106482504 33036383103130 66072766206260 132145532412520