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135106797 = 37137151311
BaseRepresentation
bin10000000110110…
…01000011101101
3100102020010200110
420003121003231
5234041404142
621223450233
73230250240
oct1003310355
9312203613
10135106797
116a29a811
12392b6979
1321cb6067
1413d2d257
15bcdb99c
hex80d90ed

135106797 has 32 divisors (see below), whose sum is σ = 209424384. Its totient is φ = 75888000.

The previous prime is 135106787. The next prime is 135106799. The reversal of 135106797 is 797601531.

It is not a de Polignac number, because 135106797 - 212 = 135102701 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135106799) 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, 434272 + ... + 434582.

It is an arithmetic number, because the mean of its divisors is an integer number (6544512).

Almost surely, 2135106797 is an apocalyptic number.

It is an amenable number.

135106797 is a deficient number, since it is larger than the sum of its proper divisors (74317587).

135106797 is a wasteful number, since it uses less digits than its factorization.

135106797 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609.

The product of its (nonzero) digits is 39690, while the sum is 39.

The square root of 135106797 is about 11623.5449411959. The cubic root of 135106797 is about 513.1280226445.

The spelling of 135106797 in words is "one hundred thirty-five million, one hundred six thousand, seven hundred ninety-seven".

Divisors: 1 3 7 21 137 151 311 411 453 933 959 1057 2177 2877 3171 6531 20687 42607 46961 62061 127821 140883 144809 298249 328727 434427 894747 986181 6433657 19300971 45035599 135106797