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137150550 = 23352195347
BaseRepresentation
bin10000010110011…
…00000001010110
3100120001222012000
420023030001112
5240102304200
621335340130
73253521555
oct1013140126
9316058160
10137150550
1170466269
1239b21646
1322550394
1414301d9c
15c092300
hex82cc056

137150550 has 96 divisors (see below), whose sum is σ = 397891200. Its totient is φ = 34642080.

The previous prime is 137150537. The next prime is 137150551. The reversal of 137150550 is 55051731.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137150551) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22977 + ... + 28323.

It is an arithmetic number, because the mean of its divisors is an integer number (4144700).

Almost surely, 2137150550 is an apocalyptic number.

137150550 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 137150550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198945600).

137150550 is an abundant number, since it is smaller than the sum of its proper divisors (260740650).

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

137150550 is a wasteful number, since it uses less digits than its factorization.

137150550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5387 (or 5376 counting only the distinct ones).

The product of its (nonzero) digits is 2625, while the sum is 27.

The square root of 137150550 is about 11711.1293221448. The cubic root of 137150550 is about 515.7024379564.

The spelling of 137150550 in words is "one hundred thirty-seven million, one hundred fifty thousand, five hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 19 25 27 30 38 45 50 54 57 75 90 95 114 135 150 171 190 225 270 285 342 450 475 513 570 675 855 950 1026 1350 1425 1710 2565 2850 4275 5130 5347 8550 10694 12825 16041 25650 26735 32082 48123 53470 80205 96246 101593 133675 144369 160410 203186 240615 267350 288738 304779 401025 481230 507965 609558 721845 802050 914337 1015930 1203075 1443690 1523895 1828674 2406150 2539825 2743011 3047790 3609225 4571685 5079650 5486022 7218450 7619475 9143370 13715055 15238950 22858425 27430110 45716850 68575275 137150550