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137154141 = 341989119
BaseRepresentation
bin10000010110011…
…00111001011101
3100120002011010000
420023030321131
5240102413031
621335404513
73253535205
oct1013147135
9316064100
10137154141
1170468a33
1239b23739
1322551bc7
1414303405
15c0933e6
hex82cce5d

137154141 has 20 divisors (see below), whose sum is σ = 215670400. Its totient is φ = 86622696.

The previous prime is 137154109. The next prime is 137154167. The reversal of 137154141 is 141451731.

137154141 is a `hidden beast` number, since 13 + 71 + 541 + 41 = 666.

137154141 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 137154141 - 25 = 137154109 is a prime.

It is a super-2 number, since 2×1371541412 = 37622516786895762, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137154041) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 43021 + ... + 46098.

It is an arithmetic number, because the mean of its divisors is an integer number (10783520).

Almost surely, 2137154141 is an apocalyptic number.

It is an amenable number.

137154141 is a deficient number, since it is larger than the sum of its proper divisors (78516259).

137154141 is an equidigital number, since it uses as much as digits as its factorization.

137154141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89150 (or 89141 counting only the distinct ones).

The product of its digits is 1680, while the sum is 27.

The square root of 137154141 is about 11711.2826368421. The cubic root of 137154141 is about 515.7069387799.

The spelling of 137154141 in words is "one hundred thirty-seven million, one hundred fifty-four thousand, one hundred forty-one".

Divisors: 1 3 9 19 27 57 81 171 513 1539 89119 267357 802071 1693261 2406213 5079783 7218639 15239349 45718047 137154141