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137564195238 = 2341965967819
BaseRepresentation
bin1000000000011101110…
…1110000100110100110
3111011002002022011210000
42000013131300212212
54223212413221423
6143110210042130
712636653236461
oct2000735604646
9434062264700
10137564195238
1153382446a58
12227b1b79346
13cc8404b1c2
14692dd2c2d8
1538a1e76843
hex20077709a6

137564195238 has 80 divisors (see below), whose sum is σ = 324966312000. Its totient is φ = 43374765168.

The previous prime is 137564195221. The next prime is 137564195303. The reversal of 137564195238 is 832591465731.

It is a happy number.

137564195238 is a `hidden beast` number, since 1 + 3 + 75 + 6 + 41 + 9 + 523 + 8 = 666.

It is a super-2 number, since 2×1375641952382 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1994493 + ... + 2062311.

It is an arithmetic number, because the mean of its divisors is an integer number (4062078900).

Almost surely, 2137564195238 is an apocalyptic number.

137564195238 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 137564195238, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162483156000).

137564195238 is an abundant number, since it is smaller than the sum of its proper divisors (187402116762).

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

137564195238 is a wasteful number, since it uses less digits than its factorization.

137564195238 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68511 (or 68502 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 54.

The spelling of 137564195238 in words is "one hundred thirty-seven billion, five hundred sixty-four million, one hundred ninety-five thousand, two hundred thirty-eight".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 342 513 659 1026 1318 1539 1977 3078 3954 5931 11862 12521 17793 25042 35586 37563 53379 67819 75126 106758 112689 135638 203457 225378 338067 406914 610371 676134 1014201 1220742 1288561 1831113 2028402 2577122 3662226 3865683 5493339 7731366 10986678 11597049 23194098 34791147 44692721 69582294 89385442 104373441 134078163 208746882 268156326 402234489 804468978 849161699 1206703467 1698323398 2413406934 2547485097 3620110401 5094970194 7240220802 7642455291 15284910582 22927365873 45854731746 68782097619 137564195238