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137816627 = 1327311171
BaseRepresentation
bin10000011011011…
…10101000110011
3100121022210212112
420031232220303
5240240113002
621401515535
73262264514
oct1015565063
9317283775
10137816627
1170880743
123a1a2bab
1322724600
1414436a0b
15c174852
hex836ea33

137816627 has 12 divisors (see below), whose sum is σ = 151291224. Its totient is φ = 125461440.

The previous prime is 137816611. The next prime is 137816639. The reversal of 137816627 is 726618731.

137816627 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 137816627 - 24 = 137816611 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137816687) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6752 + ... + 17922.

It is an arithmetic number, because the mean of its divisors is an integer number (12607602).

Almost surely, 2137816627 is an apocalyptic number.

137816627 is a deficient number, since it is larger than the sum of its proper divisors (13474597).

137816627 is a wasteful number, since it uses less digits than its factorization.

137816627 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11270 (or 11257 counting only the distinct ones).

The product of its digits is 84672, while the sum is 41.

The square root of 137816627 is about 11739.5326567969. The cubic root of 137816627 is about 516.5359331156.

The spelling of 137816627 in words is "one hundred thirty-seven million, eight hundred sixteen thousand, six hundred twenty-seven".

Divisors: 1 13 73 169 949 11171 12337 145223 815483 1887899 10601279 137816627