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137814477 = 31094011051
BaseRepresentation
bin10000011011011…
…10000111001101
3100121022200220220
420031232013031
5240240030402
621401501553
73262255323
oct1015560715
9317280826
10137814477
117087a069
123a1a18b9
1322723638
1414435d13
15c173dbc
hex836e1cd

137814477 has 16 divisors (see below), whose sum is σ = 186077760. Its totient is φ = 90720000.

The previous prime is 137814463. The next prime is 137814503. The reversal of 137814477 is 774418731.

137814477 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 137814477 - 28 = 137814221 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137814577) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130602 + ... + 131652.

It is an arithmetic number, because the mean of its divisors is an integer number (11629860).

Almost surely, 2137814477 is an apocalyptic number.

It is an amenable number.

137814477 is a deficient number, since it is larger than the sum of its proper divisors (48263283).

137814477 is a wasteful number, since it uses less digits than its factorization.

137814477 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1564.

The product of its digits is 131712, while the sum is 42.

The square root of 137814477 is about 11739.4410855032. The cubic root of 137814477 is about 516.5332470390.

The spelling of 137814477 in words is "one hundred thirty-seven million, eight hundred fourteen thousand, four hundred seventy-seven".

Divisors: 1 3 109 327 401 1051 1203 3153 43709 114559 131127 343677 421451 1264353 45938159 137814477