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137748852252 = 2232111319263723
BaseRepresentation
bin1000000001001001111…
…0001010111000011100
3111011112221202201120200
42000102132022320130
54224102201233002
6143140403543500
712644354632224
oct2002236127034
9434487681520
10137748852252
11534676aa560
122284398ab90
13ccb33929cb
14694a679084
1538b329eb1c
hex201278ae1c

137748852252 has 72 divisors (see below), whose sum is σ = 380142322560. Its totient is φ = 41710271520.

The previous prime is 137748852247. The next prime is 137748852281. The reversal of 137748852252 is 252258847731.

137748852252 is a `hidden beast` number, since 1 + 3 + 77 + 48 + 8 + 522 + 5 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 390463 + ... + 654185.

It is an arithmetic number, because the mean of its divisors is an integer number (5279754480).

Almost surely, 2137748852252 is an apocalyptic number.

137748852252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137748852252 is an abundant number, since it is smaller than the sum of its proper divisors (242393470308).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

137748852252 is a wasteful number, since it uses less digits than its factorization.

137748852252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265063 (or 265058 counting only the distinct ones).

The product of its digits is 7526400, while the sum is 54.

The spelling of 137748852252 in words is "one hundred thirty-seven billion, seven hundred forty-eight million, eight hundred fifty-two thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 1319 2638 3957 5276 7914 11871 14509 15828 23742 29018 43527 47484 58036 87054 130581 174108 261162 263723 522324 527446 791169 1054892 1582338 2373507 2900953 3164676 4747014 5801906 8702859 9494028 11603812 17405718 26108577 34811436 52217154 104434308 347850637 695701274 1043551911 1391402548 2087103822 3130655733 3826357007 4174207644 6261311466 7652714014 11479071021 12522622932 15305428028 22958142042 34437213063 45916284084 68874426126 137748852252