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132505534032 = 2432760531959
BaseRepresentation
bin111101101100111110…
…0011111111001010000
3110200000112112120011120
41323121330133321100
54132332404042112
6140512221242240
712400416312204
oct1733174377120
9420015476146
10132505534032
1151216a12a13
122181ba03380
13c658cc0b51
1465b015ab04
1536a7cd3e8c
hex1ed9f1fe50

132505534032 has 20 divisors (see below), whose sum is σ = 342305963040. Its totient is φ = 44168511328.

The previous prime is 132505534027. The next prime is 132505534037. The reversal of 132505534032 is 230435505231.

It is an interprime number because it is at equal distance from previous prime (132505534027) and next prime (132505534037).

It is a super-3 number, since 3×1325055340323 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132505533984 and 132505534002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132505534037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1380265932 + ... + 1380266027.

It is an arithmetic number, because the mean of its divisors is an integer number (17115298152).

Almost surely, 2132505534032 is an apocalyptic number.

132505534032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132505534032 is an abundant number, since it is smaller than the sum of its proper divisors (209800429008).

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

132505534032 is a wasteful number, since it uses less digits than its factorization.

132505534032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2760531970 (or 2760531964 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 33.

The spelling of 132505534032 in words is "one hundred thirty-two billion, five hundred five million, five hundred thirty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 2760531959 5521063918 8281595877 11042127836 16563191754 22084255672 33126383508 44168511344 66252767016 132505534032