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137024217 = 3411295303
BaseRepresentation
bin10000010101011…
…01001011011001
3100112211112220000
420022231023121
5240034233332
621332523213
73252454341
oct1012551331
9315745800
10137024217
117038a360
1239a80509
1322507a25
14142abd21
15c069b7c
hex82ad2d9

137024217 has 40 divisors (see below), whose sum is σ = 231042240. Its totient is φ = 80166240.

The previous prime is 137024213. The next prime is 137024243. The reversal of 137024217 is 712420731.

It is a happy number.

It is not a de Polignac number, because 137024217 - 22 = 137024213 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (137024213) 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 39 ways as a sum of consecutive naturals, for example, 23188 + ... + 28490.

It is an arithmetic number, because the mean of its divisors is an integer number (5776056).

Almost surely, 2137024217 is an apocalyptic number.

It is an amenable number.

137024217 is a deficient number, since it is larger than the sum of its proper divisors (94018023).

137024217 is a wasteful number, since it uses less digits than its factorization.

137024217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5355 (or 5346 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 137024217 is about 11705.7343639773. The cubic root of 137024217 is about 515.5440469274.

Adding to 137024217 its reverse (712420731), we get a palindrome (849444948).

The spelling of 137024217 in words is "one hundred thirty-seven million, twenty-four thousand, two hundred seventeen".

Divisors: 1 3 9 11 27 29 33 81 87 99 261 297 319 783 891 957 2349 2871 5303 8613 15909 25839 47727 58333 143181 153787 174999 429543 461361 524997 1384083 1574991 1691657 4152249 4724973 5074971 12456747 15224913 45674739 137024217