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137142477 = 348320399
BaseRepresentation
bin10000010110010…
…10000011001101
3100120001120010000
420023022003031
5240102024402
621335234513
73253456203
oct1013120315
9316046100
10137142477
117046019a
1239b18a39
13225497c4
14142dd073
15c08ec1c
hex82ca0cd

137142477 has 20 divisors (see below), whose sum is σ = 207345600. Its totient is φ = 90322344.

The previous prime is 137142469. The next prime is 137142493. The reversal of 137142477 is 774241731.

It is not a de Polignac number, because 137142477 - 23 = 137142469 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137142427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3477 + ... + 16922.

It is an arithmetic number, because the mean of its divisors is an integer number (10367280).

Almost surely, 2137142477 is an apocalyptic number.

It is an amenable number.

137142477 is a deficient number, since it is larger than the sum of its proper divisors (70203123).

137142477 is an equidigital number, since it uses as much as digits as its factorization.

137142477 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20494 (or 20485 counting only the distinct ones).

The product of its digits is 32928, while the sum is 36.

The square root of 137142477 is about 11710.7846449331. The cubic root of 137142477 is about 515.6923192766.

The spelling of 137142477 in words is "one hundred thirty-seven million, one hundred forty-two thousand, four hundred seventy-seven".

Divisors: 1 3 9 27 81 83 249 747 2241 6723 20399 61197 183591 550773 1652319 1693117 5079351 15238053 45714159 137142477