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132745844 = 227113113903
BaseRepresentation
bin1111110100110…
…00101001110100
3100020210012001202
413322120221310
5232440331334
621101112032
73201215060
oct772305164
9306705052
10132745844
1168a27a10
1238558618
132166a54a
14138b6aa0
15b9c217e
hex7e98a74

132745844 has 48 divisors (see below), whose sum is σ = 298991616. Its totient is φ = 50047200.

The previous prime is 132745819. The next prime is 132745849. The reversal of 132745844 is 448547231.

It is a junction number, because it is equal to n+sod(n) for n = 132745798 and 132745807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132745849) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2597 + ... + 16499.

It is an arithmetic number, because the mean of its divisors is an integer number (6228992).

Almost surely, 2132745844 is an apocalyptic number.

132745844 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132745844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149495808).

132745844 is an abundant number, since it is smaller than the sum of its proper divisors (166245772).

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

132745844 is a wasteful number, since it uses less digits than its factorization.

132745844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13956 (or 13954 counting only the distinct ones).

The product of its digits is 107520, while the sum is 38.

The square root of 132745844 is about 11521.5382653533. The cubic root of 132745844 is about 510.1215191655.

The spelling of 132745844 in words is "one hundred thirty-two million, seven hundred forty-five thousand, eight hundred forty-four".

Divisors: 1 2 4 7 11 14 22 28 31 44 62 77 124 154 217 308 341 434 682 868 1364 2387 4774 9548 13903 27806 55612 97321 152933 194642 305866 389284 430993 611732 861986 1070531 1723972 2141062 3016951 4282124 4740923 6033902 9481846 12067804 18963692 33186461 66372922 132745844