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137324540 = 22567102481
BaseRepresentation
bin10000010111101…
…10011111111100
3100120101210212002
420023312133330
5240123341130
621343201432
73255145043
oct1013663774
9316353762
10137324540
1170574a61
1239ba6278
13225b1632
141434955a
15c0c8b45
hex82f67fc

137324540 has 24 divisors (see below), whose sum is σ = 292688592. Its totient is φ = 54109440.

The previous prime is 137324507. The next prime is 137324569. The reversal of 137324540 is 45423731.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49901 + ... + 52580.

It is an arithmetic number, because the mean of its divisors is an integer number (12195358).

Almost surely, 2137324540 is an apocalyptic number.

137324540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137324540 is an abundant number, since it is smaller than the sum of its proper divisors (155364052).

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

137324540 is a wasteful number, since it uses less digits than its factorization.

137324540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102557 (or 102555 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 29.

The square root of 137324540 is about 11718.5553717171. Note that the first 3 decimals coincide. The cubic root of 137324540 is about 515.9204201935.

The spelling of 137324540 in words is "one hundred thirty-seven million, three hundred twenty-four thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 67 134 268 335 670 1340 102481 204962 409924 512405 1024810 2049620 6866227 13732454 27464908 34331135 68662270 137324540