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137009068077 = 37197311341627
BaseRepresentation
bin111111110011001100…
…0000111100000101101
3111002122101201210110210
41333212120013200231
54221043310134302
6142535135453033
712620132602110
oct1774630074055
9432571653423
10137009068077
1153118057782
1222678087179
13cbc60340ab
1468ba306577
15386d36e66c
hex1fe660782d

137009068077 has 64 divisors (see below), whose sum is σ = 224751237120. Its totient is φ = 72505165824.

The previous prime is 137009068073. The next prime is 137009068093. The reversal of 137009068077 is 770860900731.

It is a happy number.

It is not a de Polignac number, because 137009068077 - 22 = 137009068073 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137009068073) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3270538 + ... + 3312164.

It is an arithmetic number, because the mean of its divisors is an integer number (3511738080).

Almost surely, 2137009068077 is an apocalyptic number.

It is an amenable number.

137009068077 is a deficient number, since it is larger than the sum of its proper divisors (87742169043).

137009068077 is a wasteful number, since it uses less digits than its factorization.

137009068077 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41842.

The product of its (nonzero) digits is 444528, while the sum is 48.

The spelling of 137009068077 in words is "one hundred thirty-seven billion, nine million, sixty-eight thousand, seventy-seven".

Divisors: 1 3 7 19 21 57 73 113 133 219 339 399 511 791 1387 1533 2147 2373 4161 6441 8249 9709 15029 24747 29127 41627 45087 57743 124881 156731 173229 291389 470193 790913 874167 1097117 2372739 3038771 3291351 4703851 5536391 9116313 14111553 16609173 21271397 32926957 57736649 63814191 89373169 98780871 173209947 268119507 343381123 404156543 625612183 1030143369 1212469629 1876836549 2403667861 6524241337 7211003583 19572724011 45669689359 137009068077