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137818240 = 275730763
BaseRepresentation
bin10000011011011…
…11000010000000
3100121022220002021
420031233002000
5240240140430
621401531224
73262302310
oct1015570200
9317286067
10137818240
117088197a
123a1a3b14
1322725271
1414437440
15c17507a
hex836f080

137818240 has 64 divisors (see below), whose sum is σ = 376551360. Its totient is φ = 47250432.

The previous prime is 137818217. The next prime is 137818297. The reversal of 137818240 is 42818731.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 137818196 and 137818205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10902 + ... + 19861.

It is an arithmetic number, because the mean of its divisors is an integer number (5883615).

Almost surely, 2137818240 is an apocalyptic number.

137818240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137818240 is an abundant number, since it is smaller than the sum of its proper divisors (238733120).

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

137818240 is an equidigital number, since it uses as much as digits as its factorization.

137818240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30789 (or 30777 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The square root of 137818240 is about 11739.6013560938. The cubic root of 137818240 is about 516.5379482793.

The spelling of 137818240 in words is "one hundred thirty-seven million, eight hundred eighteen thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 560 640 896 1120 2240 4480 30763 61526 123052 153815 215341 246104 307630 430682 492208 615260 861364 984416 1076705 1230520 1722728 1968832 2153410 2461040 3445456 3937664 4306820 4922080 6890912 8613640 9844160 13781824 17227280 19688320 27563648 34454560 68909120 137818240