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137313684722560 = 275516741523637
BaseRepresentation
bin11111001110001011010101…
…011001101001001110000000
3200000012001121210010020010111
4133032023111121221032000
5120444221411242110220
61204013011431441104
740631405054133553
oct3716132531511600
9600161553106114
10137313684722560
113a8304522a1435
121349838b226194
135b80817c01788
1425ca036bc069a
1510d1c9da5e15a
hex7ce2d5669380

137313684722560 has 64 divisors (see below), whose sum is σ = 328329066611520. Its totient is φ = 54914842515456.

The previous prime is 137313684722519. The next prime is 137313684722561. The reversal of 137313684722560 is 65227486313731.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 137313684722495 and 137313684722504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137313684722561) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 17454939 + ... + 24068698.

It is an arithmetic number, because the mean of its divisors is an integer number (5130141665805).

Almost surely, 2137313684722560 is an apocalyptic number.

137313684722560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137313684722560 is an abundant number, since it is smaller than the sum of its proper divisors (191015381888960).

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

137313684722560 is an equidigital number, since it uses as much as digits as its factorization.

137313684722560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41528823 (or 41528811 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 58.

The spelling of 137313684722560 in words is "one hundred thirty-seven trillion, three hundred thirteen billion, six hundred eighty-four million, seven hundred twenty-two thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 5167 10334 20668 25835 41336 51670 82672 103340 165344 206680 330688 413360 661376 826720 1653440 3306880 41523637 83047274 166094548 207618185 332189096 415236370 664378192 830472740 1328756384 1660945480 2657512768 3321890960 5315025536 6643781920 13287563840 26575127680 214552632379 429105264758 858210529516 1072763161895 1716421059032 2145526323790 3432842118064 4291052647580 6865684236128 8582105295160 13731368472256 17164210590320 27462736944512 34328421180640 68656842361280 137313684722560