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1353132148 = 228910137633
BaseRepresentation
bin101000010100111…
…0010100001110100
310111022011020100111
41100221302201310
510232400212043
6342134152404
745350301454
oct12051624164
93438136314
101353132148
11634898235
123191b2704
1318744bc14
14cb9d1d64
157dbd809d
hex50a72874

1353132148 has 24 divisors (see below), whose sum is σ = 2418360840. Its totient is φ = 662323200.

The previous prime is 1353132133. The next prime is 1353132167. The reversal of 1353132148 is 8412313531.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 194546704 + 1158585444 = 13948^2 + 34038^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17140 + ... + 54772.

It is an arithmetic number, because the mean of its divisors is an integer number (100765035).

Almost surely, 21353132148 is an apocalyptic number.

It is an amenable number.

1353132148 is a deficient number, since it is larger than the sum of its proper divisors (1065228692).

1353132148 is a wasteful number, since it uses less digits than its factorization.

1353132148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37827 (or 37825 counting only the distinct ones).

The product of its digits is 8640, while the sum is 31.

The square root of 1353132148 is about 36784.9445833482. The cubic root of 1353132148 is about 1106.0635251116.

Adding to 1353132148 its reverse (8412313531), we get a palindrome (9765445679).

The spelling of 1353132148 in words is "one billion, three hundred fifty-three million, one hundred thirty-two thousand, one hundred forty-eight".

Divisors: 1 2 4 89 101 178 202 356 404 8989 17978 35956 37633 75266 150532 3349337 3800933 6698674 7601866 13397348 15203732 338283037 676566074 1353132148