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132144534 = 2342393413
BaseRepresentation
bin1111110000001…
…01110110010110
3100012122122020000
413320011312112
5232312111114
621040152130
73163132014
oct770056626
9305578200
10132144534
1168657165
1238308646
13214b9942
141379b8b4
15b903e09
hex7e05d96

132144534 has 40 divisors (see below), whose sum is σ = 297427680. Its totient is φ = 43851024.

The previous prime is 132144521. The next prime is 132144541. The reversal of 132144534 is 435441231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 132144498 and 132144507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 37012 + ... + 40424.

It is an arithmetic number, because the mean of its divisors is an integer number (7435692).

Almost surely, 2132144534 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132144534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148713840).

132144534 is an abundant number, since it is smaller than the sum of its proper divisors (165283146).

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

132144534 is a wasteful number, since it uses less digits than its factorization.

132144534 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3666 (or 3657 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 132144534 is about 11495.4136071739. The cubic root of 132144534 is about 509.3501064478.

Adding to 132144534 its reverse (435441231), we get a palindrome (567585765).

The spelling of 132144534 in words is "one hundred thirty-two million, one hundred forty-four thousand, five hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 162 239 478 717 1434 2151 3413 4302 6453 6826 10239 12906 19359 20478 30717 38718 61434 92151 184302 276453 552906 815707 1631414 2447121 4894242 7341363 14682726 22024089 44048178 66072267 132144534