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137040735 = 3513702773
BaseRepresentation
bin10000010101100…
…01001101011111
3100112212101112210
420022301031133
5240040300420
621333131503
73252553446
oct1012611537
9315771483
10137040735
11703a0807
1239a89b93
13225123c0
14142b3d5d
15c06e9e0
hex82b135f

137040735 has 16 divisors (see below), whose sum is σ = 236132064. Its totient is φ = 67466112.

The previous prime is 137040733. The next prime is 137040763. The reversal of 137040735 is 537040731.

137040735 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 137040735 - 21 = 137040733 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137040731) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 351192 + ... + 351581.

It is an arithmetic number, because the mean of its divisors is an integer number (14758254).

Almost surely, 2137040735 is an apocalyptic number.

137040735 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

137040735 is a deficient number, since it is larger than the sum of its proper divisors (99091329).

137040735 is a wasteful number, since it uses less digits than its factorization.

137040735 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702794.

The product of its (nonzero) digits is 8820, while the sum is 30.

The square root of 137040735 is about 11706.4398943488. The cubic root of 137040735 is about 515.5647620355.

The spelling of 137040735 in words is "one hundred thirty-seven million, forty thousand, seven hundred thirty-five".

Divisors: 1 3 5 13 15 39 65 195 702773 2108319 3513865 9136049 10541595 27408147 45680245 137040735