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137937852045 = 34572232771091
BaseRepresentation
bin1000000001110110111…
…1001001011010001101
3111012001010101220120000
42000131233021122031
54224444042231140
6143211234514513
712652141253100
oct2003557113215
9435033356500
10137937852045
1153554359934
1222897135a39
13100135980c6
1469677d6737
1538c4b84a30
hex201dbc968d

137937852045 has 240 divisors, whose sum is σ = 301501968768. Its totient is φ = 60042850560.

The previous prime is 137937852023. The next prime is 137937852113. The reversal of 137937852045 is 540258739731.

137937852045 is a `hidden beast` number, since 1 + 3 + 7 + 9 + 3 + 78 + 520 + 45 = 666.

It is not a de Polignac number, because 137937852045 - 210 = 137937851021 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 137937851982 and 137937852000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 126431950 + ... + 126433040.

Almost surely, 2137937852045 is an apocalyptic number.

137937852045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

137937852045 is an abundant number, since it is smaller than the sum of its proper divisors (163564116723).

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

137937852045 is a wasteful number, since it uses less digits than its factorization.

137937852045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1422 (or 1406 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 137937852045 in words is "one hundred thirty-seven billion, nine hundred thirty-seven million, eight hundred fifty-two thousand, forty-five".