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137225492550 = 23352101648513
BaseRepresentation
bin111111111001101000…
…1101101100001000110
3111010012110222022001000
41333303101231201012
54222014211230200
6143012430314130
712625401304206
oct1776321554106
9433173868030
10137225492550
1153219238683
1222718658946
13cc2bb1c203
1468dad62406
153882370300
hex1ff346d846

137225492550 has 48 divisors (see below), whose sum is σ = 378132472080. Its totient is φ = 36593464320.

The previous prime is 137225492539. The next prime is 137225492603. The reversal of 137225492550 is 55294522731.

137225492550 is a `hidden beast` number, since 1 + 3 + 7 + 2 + 2 + 5 + 4 + 92 + 550 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 137225492496 and 137225492505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50822907 + ... + 50825606.

It is an arithmetic number, because the mean of its divisors is an integer number (7877759835).

Almost surely, 2137225492550 is an apocalyptic number.

137225492550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

137225492550 is an abundant number, since it is smaller than the sum of its proper divisors (240906979530).

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

137225492550 is a wasteful number, since it uses less digits than its factorization.

137225492550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101648534 (or 101648523 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 137225492550 in words is "one hundred thirty-seven billion, two hundred twenty-five million, four hundred ninety-two thousand, five hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 90 135 150 225 270 450 675 1350 101648513 203297026 304945539 508242565 609891078 914836617 1016485130 1524727695 1829673234 2541212825 2744509851 3049455390 4574183085 5082425650 5489019702 7623638475 9148366170 13722549255 15247276950 22870915425 27445098510 45741830850 68612746275 137225492550