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137190997 = 1091976389
BaseRepresentation
bin10000010110101…
…01111001010101
3100120011000200001
420023111321111
5240110102442
621340251301
73254050516
oct1013257125
9316130601
10137190997
1170493699
1239b40b31
1322565908
1414312a0d
15c09e2b7
hex82d5e55

137190997 has 8 divisors (see below), whose sum is σ = 139174200. Its totient is φ = 135221184.

The previous prime is 137190973. The next prime is 137191007. The reversal of 137190997 is 799091731.

137190997 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 25867396 + 111323601 = 5086^2 + 10551^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 137190997 - 223 = 128802389 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137190947) 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, 18279 + ... + 24667.

It is an arithmetic number, because the mean of its divisors is an integer number (17396775).

Almost surely, 2137190997 is an apocalyptic number.

It is an amenable number.

137190997 is a deficient number, since it is larger than the sum of its proper divisors (1983203).

137190997 is a wasteful number, since it uses less digits than its factorization.

137190997 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6695.

The product of its (nonzero) digits is 107163, while the sum is 46.

The square root of 137190997 is about 11712.8560564877. The cubic root of 137190997 is about 515.7531281562.

The spelling of 137190997 in words is "one hundred thirty-seven million, one hundred ninety thousand, nine hundred ninety-seven".

Divisors: 1 109 197 6389 21473 696401 1258633 137190997