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137554248 = 233134310253
BaseRepresentation
bin10000011001011…
…10100101001000
3100120211110221210
420030232211020
5240203213443
621352133120
73260122536
oct1014564510
9316743853
10137554248
11707115a7
123a0971a0
1322662060
14143a9156
15c121c33
hex832e948

137554248 has 64 divisors (see below), whose sum is σ = 378987840. Its totient is φ = 41336064.

The previous prime is 137554231. The next prime is 137554253. The reversal of 137554248 is 842455731.

It is a super-2 number, since 2×1375542482 = 37842342285691008, which contains 22 as substring.

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

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 15 ways as a sum of consecutive naturals, for example, 8290 + ... + 18542.

It is an arithmetic number, because the mean of its divisors is an integer number (5921685).

Almost surely, 2137554248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137554248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189493920).

137554248 is an abundant number, since it is smaller than the sum of its proper divisors (241433592).

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

137554248 is a wasteful number, since it uses less digits than its factorization.

137554248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10318 (or 10314 counting only the distinct ones).

The product of its digits is 134400, while the sum is 39.

The square root of 137554248 is about 11728.3523139442. The cubic root of 137554248 is about 516.2079265389.

The spelling of 137554248 in words is "one hundred thirty-seven million, five hundred fifty-four thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 43 52 78 86 104 129 156 172 258 312 344 516 559 1032 1118 1677 2236 3354 4472 6708 10253 13416 20506 30759 41012 61518 82024 123036 133289 246072 266578 399867 440879 533156 799734 881758 1066312 1322637 1599468 1763516 2645274 3198936 3527032 5290548 5731427 10581096 11462854 17194281 22925708 34388562 45851416 68777124 137554248