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137854557 = 3219978311
BaseRepresentation
bin10000011011101…
…11111001011101
3100121101201220100
420031313321131
5240242321212
621402411313
73262513221
oct1015677135
9317351810
10137854557
11708a7195
123a200b39
1322738959
1414446781
15c180bdc
hex8377e5d

137854557 has 24 divisors (see below), whose sum is σ = 211789760. Its totient is φ = 86158080.

The previous prime is 137854511. The next prime is 137854567. The reversal of 137854557 is 755458731.

It is a happy number.

137854557 is a `hidden beast` number, since 13 + 7 + 85 + 4 + 557 = 666.

It is not a de Polignac number, because 137854557 - 211 = 137852509 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137854567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12432 + ... + 20742.

Almost surely, 2137854557 is an apocalyptic number.

It is an amenable number.

137854557 is a deficient number, since it is larger than the sum of its proper divisors (73935203).

137854557 is a wasteful number, since it uses less digits than its factorization.

137854557 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8433 (or 8430 counting only the distinct ones).

The product of its digits is 588000, while the sum is 45.

The square root of 137854557 is about 11741.1480273438. The cubic root of 137854557 is about 516.5833159102.

The spelling of 137854557 in words is "one hundred thirty-seven million, eight hundred fifty-four thousand, five hundred fifty-seven".

Divisors: 1 3 9 19 57 97 171 291 873 1843 5529 8311 16587 24933 74799 157909 473727 806167 1421181 2418501 7255503 15317173 45951519 137854557