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137461077 = 3313391627
BaseRepresentation
bin10000011000101…
…11110101010101
3100120122202011000
420030113311111
5240142223302
621350133513
73256254105
oct1014276525
9316582130
10137461077
11706585a6
123a051299
132262b820
1414383205
15c10431c
hex8317d55

137461077 has 16 divisors (see below), whose sum is σ = 219311680. Its totient is φ = 84591216.

The previous prime is 137461063. The next prime is 137461097. The reversal of 137461077 is 770164731.

137461077 is a `hidden beast` number, since 1 + 37 + 4 + 610 + 7 + 7 = 666.

137461077 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 137461077 - 26 = 137461013 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137461007) 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, 195463 + ... + 196164.

It is an arithmetic number, because the mean of its divisors is an integer number (13706980).

Almost surely, 2137461077 is an apocalyptic number.

It is an amenable number.

137461077 is a deficient number, since it is larger than the sum of its proper divisors (81850603).

137461077 is a wasteful number, since it uses less digits than its factorization.

137461077 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391649 (or 391643 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The square root of 137461077 is about 11724.3795997912. The cubic root of 137461077 is about 516.0913507817.

The spelling of 137461077 in words is "one hundred thirty-seven million, four hundred sixty-one thousand, seventy-seven".

Divisors: 1 3 9 13 27 39 117 351 391627 1174881 3524643 5091151 10573929 15273453 45820359 137461077