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137373173043360 = 253589163110917789
BaseRepresentation
bin11111001111000010101111…
…001011100101000010100000
3200000101202011121220000222020
4133033002233023211002200
5121001210224244341420
61204100210420541440
740635612201412302
oct3717025713450240
9600352147800866
10137373173043360
113a8536a9965321
12134a7a11851880
135b863086478b7
1425ccc7b71b972
1510d35d13dd340
hex7cf0af2e50a0

137373173043360 has 384 divisors, whose sum is σ = 440693936928000. Its totient is φ = 35964542287872.

The previous prime is 137373173043341. The next prime is 137373173043383. The reversal of 137373173043360 is 63340371373731.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7722357346 + ... + 7722375134.

It is an arithmetic number, because the mean of its divisors is an integer number (1147640460750).

Almost surely, 2137373173043360 is an apocalyptic number.

137373173043360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137373173043360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220346968464000).

137373173043360 is an abundant number, since it is smaller than the sum of its proper divisors (303320763884640).

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

137373173043360 is a wasteful number, since it uses less digits than its factorization.

137373173043360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19168 (or 19160 counting only the distinct ones).

The product of its (nonzero) digits is 6001128, while the sum is 51.

The spelling of 137373173043360 in words is "one hundred thirty-seven trillion, three hundred seventy-three billion, one hundred seventy-three million, forty-three thousand, three hundred sixty".