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137065918420 = 225292311102259
BaseRepresentation
bin111111110100111000…
…0111110111111010100
3111002210100201002111001
41333221300332333110
54221202333342140
6142544530153044
712621423040414
oct1775160767724
9432710632431
10137065918420
1153147157232
1222693122784
13cc04a4a552
1468c3aa4644
15387334de9a
hex1fe9c3efd4

137065918420 has 48 divisors (see below), whose sum is σ = 297895651200. Its totient is φ = 52912379520.

The previous prime is 137065918393. The next prime is 137065918427. The reversal of 137065918420 is 24819560731.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137065918427) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1289251 + ... + 1391509.

It is an arithmetic number, because the mean of its divisors is an integer number (6206159400).

It is a 1-persistent number, because it is pandigital, but 2⋅137065918420 = 274131836840 is not.

Almost surely, 2137065918420 is an apocalyptic number.

137065918420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137065918420 is an abundant number, since it is smaller than the sum of its proper divisors (160829732780).

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

137065918420 is a wasteful number, since it uses less digits than its factorization.

137065918420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104608 (or 104606 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 46.

The spelling of 137065918420 in words is "one hundred thirty-seven billion, sixty-five million, nine hundred eighteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 2311 4622 9244 11555 23110 46220 67019 102259 134038 204518 268076 335095 409036 511295 670190 1022590 1340380 2045180 2965511 5931022 11862044 14827555 29655110 59310220 236320549 472641098 945282196 1181602745 2363205490 4726410980 6853295921 13706591842 27413183684 34266479605 68532959210 137065918420