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132345144 = 2333647947
BaseRepresentation
bin1111110001101…
…10110100111000
3100020000211102000
413320312310320
5232340021034
621044341000
73164625621
oct770666470
9306024360
10132345144
1168783958
12383a4760
132155a049
1413810a48
15b943599
hex7e36d38

132345144 has 64 divisors (see below), whose sum is σ = 368582400. Its totient is φ = 44000352.

The previous prime is 132345137. The next prime is 132345163. The reversal of 132345144 is 441543231.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139279 + ... + 140225.

It is an arithmetic number, because the mean of its divisors is an integer number (5759100).

Almost surely, 2132345144 is an apocalyptic number.

It is an amenable number.

132345144 is an abundant number, since it is smaller than the sum of its proper divisors (236237256).

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

132345144 is a wasteful number, since it uses less digits than its factorization.

132345144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1609 (or 1599 counting only the distinct ones).

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

The square root of 132345144 is about 11504.1359519088. The cubic root of 132345144 is about 509.6077260358.

Adding to 132345144 its reverse (441543231), we get a palindrome (573888375).

The spelling of 132345144 in words is "one hundred thirty-two million, three hundred forty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 647 947 1294 1894 1941 2588 2841 3788 3882 5176 5682 5823 7576 7764 8523 11364 11646 15528 17046 17469 22728 23292 25569 34092 34938 46584 51138 68184 69876 102276 139752 204552 612709 1225418 1838127 2450836 3676254 4901672 5514381 7352508 11028762 14705016 16543143 22057524 33086286 44115048 66172572 132345144