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137980077 = 3435212053
BaseRepresentation
bin10000011100101…
…10100010101101
3100121122010002020
420032112202231
5240310330302
621405220353
73263545164
oct1016264255
9317563066
10137980077
1170982524
123a2616b9
1322780b21
141447a3db
15c1a7ebc
hex83968ad

137980077 has 16 divisors (see below), whose sum is σ = 188705088. Its totient is φ = 89631360.

The previous prime is 137980069. The next prime is 137980081. The reversal of 137980077 is 770089731.

It is a happy number.

It is not a de Polignac number, because 137980077 - 23 = 137980069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137980027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66183 + ... + 68235.

It is an arithmetic number, because the mean of its divisors is an integer number (11794068).

Almost surely, 2137980077 is an apocalyptic number.

It is an amenable number.

137980077 is a deficient number, since it is larger than the sum of its proper divisors (50725011).

137980077 is a wasteful number, since it uses less digits than its factorization.

137980077 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2620.

The product of its (nonzero) digits is 74088, while the sum is 42.

The square root of 137980077 is about 11746.4921146698. The cubic root of 137980077 is about 516.7400556637.

The spelling of 137980077 in words is "one hundred thirty-seven million, nine hundred eighty thousand, seventy-seven".

Divisors: 1 3 43 129 521 1563 2053 6159 22403 67209 88279 264837 1069613 3208839 45993359 137980077