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137071493 = 1317620233
BaseRepresentation
bin10000010101110…
…00101110000101
3100112220221201222
420022320232011
5240042241433
621333530125
73253042226
oct1012705605
9315827658
10137071493
1170411929
1239aa3945
13225233c0
14142c124d
15c078b98
hex82b8b85

137071493 has 8 divisors (see below), whose sum is σ = 156298968. Its totient is φ = 119084544.

The previous prime is 137071483. The next prime is 137071537. The reversal of 137071493 is 394170731.

It can be written as a sum of positive squares in 4 ways, for example, as 17322244 + 119749249 = 4162^2 + 10943^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-137071493 is a prime.

It is a super-3 number, since 3×1370714933 (a number of 25 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137071433) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 309896 + ... + 310337.

It is an arithmetic number, because the mean of its divisors is an integer number (19537371).

Almost surely, 2137071493 is an apocalyptic number.

137071493 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

137071493 is a deficient number, since it is larger than the sum of its proper divisors (19227475).

137071493 is a wasteful number, since it uses less digits than its factorization.

137071493 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620263.

The product of its (nonzero) digits is 15876, while the sum is 35.

The square root of 137071493 is about 11707.7535419909. The cubic root of 137071493 is about 515.6033309927.

The spelling of 137071493 in words is "one hundred thirty-seven million, seventy-one thousand, four hundred ninety-three".

Divisors: 1 13 17 221 620233 8063029 10543961 137071493