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132540523232 = 2513811392857
BaseRepresentation
bin111101101110000000…
…1111110001011100000
3110200002222101012022212
41323130001332023200
54132420333220412
6140515511221252
712401322600425
oct1733401761340
9420088335285
10132540523232
1151234740907
122182b677828
13c663321a10
1465b4a67d4c
1536aade6222
hex1edc07e2e0

132540523232 has 48 divisors (see below), whose sum is σ = 281358613872. Its totient is φ = 61096965120.

The previous prime is 132540523183. The next prime is 132540523279. The reversal of 132540523232 is 232325045231.

It is a super-2 number, since 2×1325405232322 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 140948 + ... + 533804.

It is an arithmetic number, because the mean of its divisors is an integer number (5861637789).

Almost surely, 2132540523232 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 132540523232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140679306936).

132540523232 is an abundant number, since it is smaller than the sum of its proper divisors (148818090640).

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

132540523232 is a wasteful number, since it uses less digits than its factorization.

132540523232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393691 (or 393683 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 32.

Adding to 132540523232 its reverse (232325045231), we get a palindrome (364865568463).

The spelling of 132540523232 in words is "one hundred thirty-two billion, five hundred forty million, five hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 811 1622 3244 6488 10543 12976 21086 25952 42172 84344 168688 337376 392857 785714 1571428 3142856 5107141 6285712 10214282 12571424 20428564 40857128 81714256 163428512 318607027 637214054 1274428108 2548856216 4141891351 5097712432 8283782702 10195424864 16567565404 33135130808 66270261616 132540523232