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137681550 = 232522711129
BaseRepresentation
bin10000011010011…
…01101010001110
3100121001221120200
420031031222032
5240221302200
621354554330
73261162636
oct1015155216
9317057520
10137681550
1170799206
123a1389a6
13226a7c96
14143dd6c6
15c149800
hex834da8e

137681550 has 72 divisors (see below), whose sum is σ = 371598240. Its totient is φ = 36547200.

The previous prime is 137681539. The next prime is 137681563. The reversal of 137681550 is 55186731.

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 35 ways as a sum of consecutive naturals, for example, 121386 + ... + 122514.

Almost surely, 2137681550 is an apocalyptic number.

137681550 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 137681550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185799120).

137681550 is an abundant number, since it is smaller than the sum of its proper divisors (233916690).

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

137681550 is a wasteful number, since it uses less digits than its factorization.

137681550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1418 (or 1410 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 137681550 is about 11733.7781639163. The cubic root of 137681550 is about 516.3671220095.

The spelling of 137681550 in words is "one hundred thirty-seven million, six hundred eighty-one thousand, five hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 271 450 542 813 1129 1355 1626 2258 2439 2710 3387 4065 4878 5645 6774 6775 8130 10161 11290 12195 13550 16935 20322 20325 24390 28225 33870 40650 50805 56450 60975 84675 101610 121950 169350 254025 305959 508050 611918 917877 1529795 1835754 2753631 3059590 4589385 5507262 7648975 9178770 13768155 15297950 22946925 27536310 45893850 68840775 137681550