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137907435 = 3546719687
BaseRepresentation
bin10000011100001…
…00110011101011
3100121111102102210
420032010303223
5240301014220
621403500203
73263123331
oct1016046353
9317442383
10137907435
1170932996
123a227663
1322756a43
141445bb51
15c1916e0
hex8384ceb

137907435 has 16 divisors (see below), whose sum is σ = 221135616. Its totient is φ = 73389408.

The previous prime is 137907433. The next prime is 137907443. The reversal of 137907435 is 534709731.

It is a happy number.

It is not a de Polignac number, because 137907435 - 21 = 137907433 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 137907393 and 137907402.

It is not an unprimeable number, because it can be changed into a prime (137907433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2839 + ... + 16848.

It is an arithmetic number, because the mean of its divisors is an integer number (13820976).

Almost surely, 2137907435 is an apocalyptic number.

137907435 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

137907435 is a deficient number, since it is larger than the sum of its proper divisors (83228181).

137907435 is a wasteful number, since it uses less digits than its factorization.

137907435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20162.

The product of its (nonzero) digits is 79380, while the sum is 39.

The square root of 137907435 is about 11743.3996355400. The cubic root of 137907435 is about 516.6493574962.

The spelling of 137907435 in words is "one hundred thirty-seven million, nine hundred seven thousand, four hundred thirty-five".

Divisors: 1 3 5 15 467 1401 2335 7005 19687 59061 98435 295305 9193829 27581487 45969145 137907435