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145029132 = 223210139887
BaseRepresentation
bin10001010010011…
…11100000001100
3101002220020120100
420221033200030
5244111413012
622220251100
73410504313
oct1051174014
9332806510
10145029132
1174957596
12406a0a90
132407b471
141539327a
15caeb8dc
hex8a4f80c

145029132 has 36 divisors (see below), whose sum is σ = 370240416. Its totient is φ = 47863200.

The previous prime is 145029121. The next prime is 145029163. The reversal of 145029132 is 231920541.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 145029096 and 145029105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16308 + ... + 23579.

It is an arithmetic number, because the mean of its divisors is an integer number (10284456).

Almost surely, 2145029132 is an apocalyptic number.

145029132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

145029132 is an abundant number, since it is smaller than the sum of its proper divisors (225211284).

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

145029132 is a wasteful number, since it uses less digits than its factorization.

145029132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39998 (or 39993 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 145029132 is about 12042.8041585006. The cubic root of 145029132 is about 525.3939682317.

Adding to 145029132 its reverse (231920541), we get a palindrome (376949673).

It can be divided in two parts, 145029 and 132, that added together give a square (145161 = 3812).

The spelling of 145029132 in words is "one hundred forty-five million, twenty-nine thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 101 202 303 404 606 909 1212 1818 3636 39887 79774 119661 159548 239322 358983 478644 717966 1435932 4028587 8057174 12085761 16114348 24171522 36257283 48343044 72514566 145029132