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137109590 = 25173126017
BaseRepresentation
bin10000010110000…
…10000001010110
3100112222212222222
420023002001112
5240100001330
621334422342
73253261262
oct1013020126
9315885888
10137109590
1170438512
1239b019b2
1322537847
14142d10a2
15c0850e5
hex82c2056

137109590 has 32 divisors (see below), whose sum is σ = 269754624. Its totient is φ = 49950720.

The previous prime is 137109587. The next prime is 137109613. The reversal of 137109590 is 95901731.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 137109590.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7739 + ... + 18278.

It is an arithmetic number, because the mean of its divisors is an integer number (8429832).

Almost surely, 2137109590 is an apocalyptic number.

137109590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

137109590 is a deficient number, since it is larger than the sum of its proper divisors (132645034).

137109590 is a wasteful number, since it uses less digits than its factorization.

137109590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26072.

The product of its (nonzero) digits is 8505, while the sum is 35.

The square root of 137109590 is about 11709.3804276742. The cubic root of 137109590 is about 515.6510946818.

The spelling of 137109590 in words is "one hundred thirty-seven million, one hundred nine thousand, five hundred ninety".

Divisors: 1 2 5 10 17 31 34 62 85 155 170 310 527 1054 2635 5270 26017 52034 130085 260170 442289 806527 884578 1613054 2211445 4032635 4422890 8065270 13710959 27421918 68554795 137109590