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137244510 = 23351361641
BaseRepresentation
bin10000010111000…
…10111101011110
3100120020202002000
420023202331132
5240113311020
621341343130
73254362524
oct1013427536
9316222060
10137244510
117051a917
1239b67aa6
1322584090
1414328314
15c0b0090
hex82e2f5e

137244510 has 128 divisors (see below), whose sum is σ = 401224320. Its totient is φ = 33177600.

The previous prime is 137244493. The next prime is 137244539. The reversal of 137244510 is 15442731.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 213790 + ... + 214430.

It is an arithmetic number, because the mean of its divisors is an integer number (3134565).

Almost surely, 2137244510 is an apocalyptic number.

137244510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 137244510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200612160).

137244510 is an abundant number, since it is smaller than the sum of its proper divisors (263979810).

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

137244510 is a wasteful number, since it uses less digits than its factorization.

137244510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 137244510 is about 11715.1402040266. The cubic root of 137244510 is about 515.8201780113.

The spelling of 137244510 in words is "one hundred thirty-seven million, two hundred forty-four thousand, five hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 61 65 78 90 117 122 130 135 183 195 234 270 305 351 366 390 549 585 610 641 702 793 915 1098 1170 1282 1586 1647 1755 1830 1923 2379 2745 3205 3294 3510 3846 3965 4758 5490 5769 6410 7137 7930 8235 8333 9615 11538 11895 14274 16470 16666 17307 19230 21411 23790 24999 28845 34614 35685 39101 41665 42822 49998 57690 71370 74997 78202 83330 86535 107055 117303 124995 149994 173070 195505 214110 224991 234606 249990 351909 374985 391010 449982 508313 586515 703818 749970 1016626 1055727 1124955 1173030 1524939 1759545 2111454 2249910 2541565 3049878 3519090 4574817 5083130 5278635 7624695 9149634 10557270 13724451 15249390 22874085 27448902 45748170 68622255 137244510