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137505283320 = 23354392610199
BaseRepresentation
bin1000000000001111110…
…1000001110011111000
3111010220222110010211010
42000003331001303320
54223102323031240
6143100303233520
712635336423556
oct2000375016370
9433828403733
10137505283320
1153352169619
12227962a88a0
13cc74a92592
146926194bd6
15389bbdb280
hex2003f41cf8

137505283320 has 64 divisors (see below), whose sum is σ = 413455680000. Its totient is φ = 36584535168.

The previous prime is 137505283313. The next prime is 137505283337. The reversal of 137505283320 is 23382505731.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1252420 + ... + 1357779.

It is an arithmetic number, because the mean of its divisors is an integer number (6460245000).

Almost surely, 2137505283320 is an apocalyptic number.

137505283320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137505283320 is an abundant number, since it is smaller than the sum of its proper divisors (275950396680).

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

137505283320 is a wasteful number, since it uses less digits than its factorization.

137505283320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2610652 (or 2610648 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 39.

The spelling of 137505283320 in words is "one hundred thirty-seven billion, five hundred five million, two hundred eighty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 439 878 1317 1756 2195 2634 3512 4390 5268 6585 8780 10536 13170 17560 26340 52680 2610199 5220398 7830597 10440796 13050995 15661194 20881592 26101990 31322388 39152985 52203980 62644776 78305970 104407960 156611940 313223880 1145877361 2291754722 3437632083 4583509444 5729386805 6875264166 9167018888 11458773610 13750528332 17188160415 22917547220 27501056664 34376320830 45835094440 68752641660 137505283320