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137253257208 = 23328112350549
BaseRepresentation
bin111111111010011101…
…1100111111111111000
3111010021102012212222200
41333310323213333320
54222043313212313
6143015301350200
712626156302554
oct1776473477770
9433242185880
10137253257208
1153232981681
1222725a08360
13cc347c08c2
14690090c864
153884a06b73
hex1ff4ee7ff8

137253257208 has 48 divisors (see below), whose sum is σ = 372186087000. Its totient is φ = 45694653120.

The previous prime is 137253257161. The next prime is 137253257209. The reversal of 137253257208 is 802752352731.

137253257208 is a `hidden beast` number, since 1 + 3 + 72 + 5 + 3 + 2 + 572 + 0 + 8 = 666.

It is a super-2 number, since 2×1372532572082 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137253257209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1116883 + ... + 1233666.

Almost surely, 2137253257208 is an apocalyptic number.

137253257208 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

137253257208 is an abundant number, since it is smaller than the sum of its proper divisors (234932829792).

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

137253257208 is a wasteful number, since it uses less digits than its factorization.

137253257208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2351372 (or 2351365 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 137253257208 in words is "one hundred thirty-seven billion, two hundred fifty-three million, two hundred fifty-seven thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 811 1622 2433 3244 4866 6488 7299 9732 14598 19464 29196 58392 2350549 4701098 7051647 9402196 14103294 18804392 21154941 28206588 42309882 56413176 84619764 169239528 1906295239 3812590478 5718885717 7625180956 11437771434 15250361912 17156657151 22875542868 34313314302 45751085736 68626628604 137253257208