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137238251191 = 314322519539
BaseRepresentation
bin111111111010000001…
…0011000011010110111
3111010020100222111121021
41333310002120122313
54222030443014231
6143014004002011
712625614613336
oct1776402303267
9433210874537
10137238251191
1153225462408
1222720990307
13cc316685c2
1468dc923d1d
153883540811
hex1ff40986b7

137238251191 has 24 divisors (see below), whose sum is σ = 145629550080. Its totient is φ = 129192210000.

The previous prime is 137238251149. The next prime is 137238251233. The reversal of 137238251191 is 191152832731.

It is an interprime number because it is at equal distance from previous prime (137238251149) and next prime (137238251233).

It is not a de Polignac number, because 137238251191 - 235 = 102878512823 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137238251791) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14382300 + ... + 14391838.

It is an arithmetic number, because the mean of its divisors is an integer number (6067897920).

Almost surely, 2137238251191 is an apocalyptic number.

137238251191 is a deficient number, since it is larger than the sum of its proper divisors (8391298889).

137238251191 is an equidigital number, since it uses as much as digits as its factorization.

137238251191 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9907 (or 9864 counting only the distinct ones).

The product of its digits is 90720, while the sum is 43.

The spelling of 137238251191 in words is "one hundred thirty-seven billion, two hundred thirty-eight million, two hundred fifty-one thousand, one hundred ninety-one".

Divisors: 1 31 43 251 1333 1849 7781 9539 10793 57319 295709 334583 410177 464099 2394289 12715487 14387069 17637611 74222959 102954427 546765941 3191587237 4427040361 137238251191