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137544692652 = 223312722812
BaseRepresentation
bin1000000000011001001…
…1010111001110101100
3111011000201121100021000
42000012103113032230
54223142420131102
6143104232040300
712636325411563
oct2000623271654
9434021540230
10137544692652
1153372436414
12227a7533090
13cc7ccb0303
14692b4d2bda
1538a03c301c
hex20064d73ac

137544692652 has 108 divisors (see below), whose sum is σ = 360710966280. Its totient is φ = 45325344960.

The previous prime is 137544692629. The next prime is 137544692689. The reversal of 137544692652 is 256296445731.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

137544692652 is a `hidden beast` number, since 1 + 3 + 7 + 544 + 6 + 92 + 6 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (108).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 489482752 + ... + 489483032.

Almost surely, 2137544692652 is an apocalyptic number.

137544692652 is a gapful number since it is divisible by the number (12) 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 137544692652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180355483140).

137544692652 is an abundant number, since it is smaller than the sum of its proper divisors (223166273628).

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

137544692652 is an equidigital number, since it uses as much as digits as its factorization.

137544692652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829 (or 413 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 54.

The spelling of 137544692652 in words is "one hundred thirty-seven billion, five hundred forty-four million, six hundred ninety-two thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 127 254 281 381 508 562 762 843 1124 1143 1524 1686 2286 2529 3372 3429 4572 5058 6858 7587 10116 13716 15174 16129 30348 32258 35687 48387 64516 71374 78961 96774 107061 142748 145161 157922 193548 214122 236883 290322 315844 321183 428244 435483 473766 580644 642366 710649 870966 947532 963549 1284732 1421298 1741932 1927098 2131947 2842596 3854196 4263894 4532249 8527788 9064498 10028047 13596747 18128996 20056094 27193494 30084141 40112188 40790241 54386988 60168282 81580482 90252423 120336564 122370723 163160964 180504846 244741446 270757269 361009692 489482892 541514538 1083029076 1273561969 2547123938 3820685907 5094247876 7641371814 11462057721 15282743628 22924115442 34386173163 45848230884 68772346326 137544692652