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137344785 = 35171274241
BaseRepresentation
bin10000010111110…
…11011100010001
3100120102211121220
420023323130101
5240130013120
621343435253
73255261054
oct1013733421
9316384556
10137344785
1170589196
1239bb5b29
13225ba906
1414352a9b
15c0ceb40
hex82fb711

137344785 has 32 divisors (see below), whose sum is σ = 234565632. Its totient is φ = 68382720.

The previous prime is 137344771. The next prime is 137344789. The reversal of 137344785 is 587443731.

137344785 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 137344785 - 24 = 137344769 is a prime.

It is not an unprimeable number, because it can be changed into a prime (137344789) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30265 + ... + 34505.

It is an arithmetic number, because the mean of its divisors is an integer number (7330176).

Almost surely, 2137344785 is an apocalyptic number.

137344785 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

137344785 is a deficient number, since it is larger than the sum of its proper divisors (97220847).

137344785 is a wasteful number, since it uses less digits than its factorization.

137344785 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4393.

The product of its digits is 282240, while the sum is 42.

The square root of 137344785 is about 11719.4191408960. The cubic root of 137344785 is about 515.9457720490.

The spelling of 137344785 in words is "one hundred thirty-seven million, three hundred forty-four thousand, seven hundred eighty-five".

Divisors: 1 3 5 15 17 51 85 127 255 381 635 1905 2159 4241 6477 10795 12723 21205 32385 63615 72097 216291 360485 538607 1081455 1615821 2693035 8079105 9156319 27468957 45781595 137344785