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137110425 = 3527379317
BaseRepresentation
bin10000010110000…
…10001110011001
3100112222221010220
420023002032121
5240100013200
621334430253
73253263564
oct1013021631
9315887126
10137110425
1170439101
1239b02389
132253803a
14142d14db
15c0854a0
hex82c2399

137110425 has 48 divisors (see below), whose sum is σ = 233437440. Its totient is φ = 70986240.

The previous prime is 137110409. The next prime is 137110459. The reversal of 137110425 is 524011731.

It is not a de Polignac number, because 137110425 - 24 = 137110409 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 137110395 and 137110404.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 432367 + ... + 432683.

It is an arithmetic number, because the mean of its divisors is an integer number (4863280).

Almost surely, 2137110425 is an apocalyptic number.

137110425 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

137110425 is a deficient number, since it is larger than the sum of its proper divisors (96327015).

137110425 is a wasteful number, since it uses less digits than its factorization.

137110425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 137110425 is about 11709.4160827942. The cubic root of 137110425 is about 515.6521414547.

The spelling of 137110425 in words is "one hundred thirty-seven million, one hundred ten thousand, four hundred twenty-five".

Divisors: 1 3 5 15 25 73 75 79 219 237 317 365 395 951 1095 1185 1585 1825 1975 4755 5475 5767 5925 7925 17301 23141 23775 25043 28835 69423 75129 86505 115705 125215 144175 347115 375645 432525 578525 626075 1735575 1828139 1878225 5484417 9140695 27422085 45703475 137110425