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137245240 = 235112711151
BaseRepresentation
bin10000010111000…
…11001000111000
3100120020210002001
420023203020320
5240113321430
621341350344
73254364616
oct1013431070
9316223061
10137245240
1170520420
1239b683b4
1322584502
14143286b6
15c0b03ca
hex82e3238

137245240 has 64 divisors (see below), whose sum is σ = 338411520. Its totient is φ = 49680000.

The previous prime is 137245237. The next prime is 137245243. The reversal of 137245240 is 42542731.

It is an interprime number because it is at equal distance from previous prime (137245237) and next prime (137245243).

It is a junction number, because it is equal to n+sod(n) for n = 137245199 and 137245208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137245243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118665 + ... + 119815.

It is an arithmetic number, because the mean of its divisors is an integer number (5287680).

Almost surely, 2137245240 is an apocalyptic number.

137245240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137245240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169205760).

137245240 is an abundant number, since it is smaller than the sum of its proper divisors (201166280).

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

137245240 is a wasteful number, since it uses less digits than its factorization.

137245240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1444 (or 1440 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 137245240 is about 11715.1713602491. The cubic root of 137245240 is about 515.8210925545.

Adding to 137245240 its reverse (42542731), we get a palindrome (179787971).

The spelling of 137245240 in words is "one hundred thirty-seven million, two hundred forty-five thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 271 440 542 1084 1151 1355 2168 2302 2710 2981 4604 5420 5755 5962 9208 10840 11510 11924 12661 14905 23020 23848 25322 29810 46040 50644 59620 63305 101288 119240 126610 253220 311921 506440 623842 1247684 1559605 2495368 3119210 3431131 6238420 6862262 12476840 13724524 17155655 27449048 34311310 68622620 137245240