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148742537 = 1729734133
BaseRepresentation
bin10001101110110…
…10000110001001
3101100212220101212
420313122012021
5301034230122
622432022505
73454201466
oct1067320611
9340786355
10148742537
1176a63519
1241991a35
1324a7b748
1415a7c66d
15d0d1ce2
hex8dda189

148742537 has 16 divisors (see below), whose sum is σ = 165194640. Its totient is φ = 133281792.

The previous prime is 148742533. The next prime is 148742563. The reversal of 148742537 is 735247841.

It can be written as a sum of positive squares in 8 ways, for example, as 14622976 + 134119561 = 3824^2 + 11581^2 .

It is a cyclic number.

It is not a de Polignac number, because 148742537 - 22 = 148742533 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 148742494 and 148742503.

It is not an unprimeable number, because it can be changed into a prime (148742533) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 33923 + ... + 38055.

It is an arithmetic number, because the mean of its divisors is an integer number (10324665).

Almost surely, 2148742537 is an apocalyptic number.

148742537 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

148742537 is a deficient number, since it is larger than the sum of its proper divisors (16452103).

148742537 is a wasteful number, since it uses less digits than its factorization.

148742537 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4252.

The product of its digits is 188160, while the sum is 41.

The square root of 148742537 is about 12196.0049606418. The cubic root of 148742537 is about 529.8403898163.

The spelling of 148742537 in words is "one hundred forty-eight million, seven hundred forty-two thousand, five hundred thirty-seven".

Divisors: 1 17 29 73 493 1241 2117 4133 35989 70261 119857 301709 2037569 5129053 8749561 148742537