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137130477 = 3114155469
BaseRepresentation
bin10000010110001…
…11000111101101
3100120000221122120
420023013013231
5240101133402
621335103153
73253406211
oct1013070755
9316027576
10137130477
1170452180
1239b11ab9
13225441c3
14142d8941
15c08b3bc
hex82c71ed

137130477 has 8 divisors (see below), whose sum is σ = 199462560. Its totient is φ = 83109360.

The previous prime is 137130403. The next prime is 137130479. The reversal of 137130477 is 774031731.

137130477 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 137130477 - 211 = 137128429 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33), and also a Moran number because the ratio is a prime number: 4155469 = 137130477 / (1 + 3 + 7 + 1 + 3 + 0 + 4 + 7 + 7).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137130479) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2077702 + ... + 2077767.

It is an arithmetic number, because the mean of its divisors is an integer number (24932820).

Almost surely, 2137130477 is an apocalyptic number.

It is an amenable number.

137130477 is a deficient number, since it is larger than the sum of its proper divisors (62332083).

137130477 is a wasteful number, since it uses less digits than its factorization.

137130477 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4155483.

The product of its (nonzero) digits is 12348, while the sum is 33.

The square root of 137130477 is about 11710.2722854765. The cubic root of 137130477 is about 515.6772777702.

The spelling of 137130477 in words is "one hundred thirty-seven million, one hundred thirty thousand, four hundred seventy-seven".

Divisors: 1 3 11 33 4155469 12466407 45710159 137130477