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137649603 = 3713736907
BaseRepresentation
bin10000011010001…
…01110111000011
3100121000022202110
420031011313003
5240214241403
621354150403
73261000540
oct1015056703
9317008673
10137649603
1170777203
123a122403
1322696590
14143d1bc7
15c140103
hex8345dc3

137649603 has 32 divisors (see below), whose sum is σ = 229014016. Its totient is φ = 71601408.

The previous prime is 137649581. The next prime is 137649619. The reversal of 137649603 is 306946731.

It is not a de Polignac number, because 137649603 - 25 = 137649571 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (137649103) 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 31 ways as a sum of consecutive naturals, for example, 16476 + ... + 23382.

It is an arithmetic number, because the mean of its divisors is an integer number (7156688).

Almost surely, 2137649603 is an apocalyptic number.

137649603 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

137649603 is a deficient number, since it is larger than the sum of its proper divisors (91364413).

137649603 is a wasteful number, since it uses less digits than its factorization.

137649603 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7003.

The product of its (nonzero) digits is 81648, while the sum is 39.

The square root of 137649603 is about 11732.4167587075. The cubic root of 137649603 is about 516.3271804281.

The spelling of 137649603 in words is "one hundred thirty-seven million, six hundred forty-nine thousand, six hundred three".

Divisors: 1 3 7 13 21 39 73 91 219 273 511 949 1533 2847 6643 6907 19929 20721 48349 89791 145047 269373 504211 628537 1512633 1885611 3529477 6554743 10588431 19664229 45883201 137649603