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135772036127 = 71311931250629
BaseRepresentation
bin111111001110010100…
…1001101110000011111
3110222110012001001122122
41332130221031300133
54211030120124002
6142212305533155
712544362160010
oct1763451156037
9428405031578
10135772036127
1152642858322
12223919441bb
13ca59975020
1467ddcd7007
1537e996b6a2
hex1f9ca4dc1f

135772036127 has 16 divisors (see below), whose sum is σ = 167244248640. Its totient is φ = 107333897472.

The previous prime is 135772036097. The next prime is 135772036133. The reversal of 135772036127 is 721630277531.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 135772036127 - 214 = 135772019743 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135772006127) 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, 516752 + ... + 733877.

It is an arithmetic number, because the mean of its divisors is an integer number (10452765540).

Almost surely, 2135772036127 is an apocalyptic number.

135772036127 is a deficient number, since it is larger than the sum of its proper divisors (31472212513).

135772036127 is a wasteful number, since it uses less digits than its factorization.

135772036127 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1251842.

The product of its (nonzero) digits is 370440, while the sum is 44.

The spelling of 135772036127 in words is "one hundred thirty-five billion, seven hundred seventy-two million, thirty-six thousand, one hundred twenty-seven".

Divisors: 1 7 13 91 1193 8351 15509 108563 1250629 8754403 16258177 113807239 1492000397 10444002779 19396005161 135772036127