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137423153530600 = 23527313166432109
BaseRepresentation
bin11111001111110001010010…
…010000000000011011101000
3200000120112011211222212010021
4133033301102100000123220
5121003020104300434400
61204135154124130224
740642331565505450
oct3717612220003350
9600515154885107
10137423153530600
113a872917610123
12134b5640096974
135b8ac42344bc2
1425d145d60cd60
1510d4a591cb71a
hex7cfc524006e8

137423153530600 has 96 divisors (see below), whose sum is σ = 376932078374400. Its totient is φ = 45596622355200.

The previous prime is 137423153530577. The next prime is 137423153530627. The reversal of 137423153530600 is 6035351324731.

It is a happy number.

137423153530600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 1583172655 + ... + 1583259454.

It is an arithmetic number, because the mean of its divisors is an integer number (3926375816400).

Almost surely, 2137423153530600 is an apocalyptic number.

137423153530600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137423153530600 is an abundant number, since it is smaller than the sum of its proper divisors (239508924843800).

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

137423153530600 is a wasteful number, since it uses less digits than its factorization.

137423153530600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3166432163 (or 3166432154 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 43.

The spelling of 137423153530600 in words is "one hundred thirty-seven trillion, four hundred twenty-three billion, one hundred fifty-three million, five hundred thirty thousand, six hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 31 35 40 50 56 62 70 100 124 140 155 175 200 217 248 280 310 350 434 620 700 775 868 1085 1240 1400 1550 1736 2170 3100 4340 5425 6200 8680 10850 21700 43400 3166432109 6332864218 12665728436 15832160545 22165024763 25331456872 31664321090 44330049526 63328642180 79160802725 88660099052 98159395379 110825123815 126657284360 158321605450 177320198104 196318790758 221650247630 316643210900 392637581516 443300495260 490796976895 554125619075 633286421800 687115767653 785275163032 886600990520 981593953790 1108251238150 1374231535306 1963187907580 2216502476300 2453984884475 2748463070612 3435578838265 3926375815160 4433004952600 4907969768950 5496926141224 6871157676530 9815939537900 13742315353060 17177894191325 19631879075800 27484630706120 34355788382650 68711576765300 137423153530600