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137244126640 = 24517372727427
BaseRepresentation
bin111111111010001100…
…0110010110110110000
3111010020210001000012111
41333310120302312300
54222033444023030
6143014333535104
712626015554045
oct1776430626660
9433223030174
10137244126640
1153228805755
1222722944494
13cc329449ba
1468dd6131cc
153883d0162a
hex1ff4632db0

137244126640 has 80 divisors (see below), whose sum is σ = 346994299872. Its totient is φ = 50271916032.

The previous prime is 137244126637. The next prime is 137244126661. The reversal of 137244126640 is 46621442731.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 137244126593 and 137244126602.

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, 1313394 + ... + 1414033.

Almost surely, 2137244126640 is an apocalyptic number.

137244126640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137244126640 is an abundant number, since it is smaller than the sum of its proper divisors (209750173232).

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

137244126640 is a wasteful number, since it uses less digits than its factorization.

137244126640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2727494 (or 2727488 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 40.

The spelling of 137244126640 in words is "one hundred thirty-seven billion, two hundred forty-four million, one hundred twenty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 37 40 68 74 80 85 136 148 170 185 272 296 340 370 592 629 680 740 1258 1360 1480 2516 2960 3145 5032 6290 10064 12580 25160 50320 2727427 5454854 10909708 13637135 21819416 27274270 43638832 46366259 54548540 92732518 100914799 109097080 185465036 201829598 218194160 231831295 370930072 403659196 463662590 504573995 741860144 807318392 927325180 1009147990 1614636784 1715551583 1854650360 2018295980 3431103166 3709300720 4036591960 6862206332 8073183920 8577757915 13724412664 17155515830 27448825328 34311031660 68622063320 137244126640