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137115550 = 2521113127151
BaseRepresentation
bin10000010110000…
…11011110011110
3100120000012011201
420023003132132
5240100144200
621334510114
73253314535
oct1013033636
9316005151
10137115550
1170441a40
1239b0533a
132253a480
14142d331c
15c086c6a
hex82c379e

137115550 has 96 divisors (see below), whose sum is σ = 303980544. Its totient is φ = 45360000.

The previous prime is 137115547. The next prime is 137115553. The reversal of 137115550 is 55511731.

137115550 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (137115547) and next prime (137115553).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137115553) 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, 907975 + ... + 908125.

It is an arithmetic number, because the mean of its divisors is an integer number (3166464).

Almost surely, 2137115550 is an apocalyptic number.

137115550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

137115550 is an abundant number, since it is smaller than the sum of its proper divisors (166864994).

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

137115550 is a wasteful number, since it uses less digits than its factorization.

137115550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 2625, while the sum is 28.

The square root of 137115550 is about 11709.6349217215. The cubic root of 137115550 is about 515.6585661650.

The spelling of 137115550 in words is "one hundred thirty-seven million, one hundred fifteen thousand, five hundred fifty".

Divisors: 1 2 5 10 11 13 22 25 26 50 55 65 110 127 130 143 151 254 275 286 302 325 550 635 650 715 755 1270 1397 1430 1510 1651 1661 1963 2794 3175 3302 3322 3575 3775 3926 6350 6985 7150 7550 8255 8305 9815 13970 16510 16610 18161 19177 19630 21593 34925 36322 38354 41275 41525 43186 49075 69850 82550 83050 90805 95885 98150 107965 181610 191770 210947 215930 249301 421894 454025 479425 498602 539825 908050 958850 1054735 1079650 1246505 2109470 2493010 2742311 5273675 5484622 6232525 10547350 12465050 13711555 27423110 68557775 137115550