Search a number
-
+
137297997 = 3416310399
BaseRepresentation
bin10000010111100…
…00000001001101
3100120100110110000
420023300001031
5240122013442
621342434513
73255004464
oct1013600115
9316313400
10137297997
1170557021
1239b92a39
13225a2525
141433d9db
15c0c0d4c
hex82f004d

137297997 has 20 divisors (see below), whose sum is σ = 206377600. Its totient is φ = 90961704.

The previous prime is 137297983. The next prime is 137298023. The reversal of 137297997 is 799792731.

It is a happy number.

It is not a de Polignac number, because 137297997 - 24 = 137297981 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 (137297957) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8004 + ... + 18402.

It is an arithmetic number, because the mean of its divisors is an integer number (10318880).

Almost surely, 2137297997 is an apocalyptic number.

It is an amenable number.

137297997 is a deficient number, since it is larger than the sum of its proper divisors (69079603).

137297997 is a wasteful number, since it uses less digits than its factorization.

137297997 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10574 (or 10565 counting only the distinct ones).

The product of its digits is 1500282, while the sum is 54.

The square root of 137297997 is about 11717.4227968440. The cubic root of 137297997 is about 515.8871778754.

The spelling of 137297997 in words is "one hundred thirty-seven million, two hundred ninety-seven thousand, nine hundred ninety-seven".

Divisors: 1 3 9 27 81 163 489 1467 4401 10399 13203 31197 93591 280773 842319 1695037 5085111 15255333 45765999 137297997