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132130536 = 23341472857
BaseRepresentation
bin1111110000000…
…10011011101000
3100012121221000120
413320002123220
5232311134121
621040003240
73163043136
oct770023350
9305557016
10132130536
116864769a
1238300520
13214b3465
1413796756
15b8eebc6
hex7e026e8

132130536 has 64 divisors (see below), whose sum is σ = 345703680. Its totient is φ = 42040320.

The previous prime is 132130519. The next prime is 132130547. The reversal of 132130536 is 635031231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44820 + ... + 47676.

It is an arithmetic number, because the mean of its divisors is an integer number (5401620).

Almost surely, 2132130536 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 132130536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172851840).

132130536 is an abundant number, since it is smaller than the sum of its proper divisors (213573144).

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

132130536 is a wasteful number, since it uses less digits than its factorization.

132130536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2954 (or 2950 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 24.

The square root of 132130536 is about 11494.8047395334. The cubic root of 132130536 is about 509.3321207510.

Adding to 132130536 its reverse (635031231), we get a palindrome (767161767).

The spelling of 132130536 in words is "one hundred thirty-two million, one hundred thirty thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 24 41 47 82 94 123 141 164 188 246 282 328 376 492 564 984 1128 1927 2857 3854 5714 5781 7708 8571 11428 11562 15416 17142 22856 23124 34284 46248 68568 117137 134279 234274 268558 351411 402837 468548 537116 702822 805674 937096 1074232 1405644 1611348 2811288 3222696 5505439 11010878 16516317 22021756 33032634 44043512 66065268 132130536