Search a number
-
+
136151742375 = 3353113667387
BaseRepresentation
bin111111011001101000…
…1101011011110100111
3111000102122112010201000
41332303101223132213
54212314321224000
6142314112204343
712556652500215
oct1766321533647
9430378463630
10136151742375
1152818122240
1222478b396b3
13caba52c58c
1468384d7cb5
15381ce72000
hex1fb346b7a7

136151742375 has 64 divisors (see below), whose sum is σ = 274614013440. Its totient is φ = 66012948000.

The previous prime is 136151742373. The next prime is 136151742407. The reversal of 136151742375 is 573247151631.

136151742375 is a `hidden beast` number, since 1 + 3 + 6 + 151 + 7 + 423 + 75 = 666.

It is not a de Polignac number, because 136151742375 - 21 = 136151742373 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 136151742375.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136151742371) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1796569 + ... + 1870818.

It is an arithmetic number, because the mean of its divisors is an integer number (4290843960).

Almost surely, 2136151742375 is an apocalyptic number.

136151742375 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

136151742375 is an abundant number, since it is smaller than the sum of its proper divisors (138462271065).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

136151742375 is a wasteful number, since it uses less digits than its factorization.

136151742375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3667422 (or 3667406 counting only the distinct ones).

The product of its digits is 529200, while the sum is 45.

The spelling of 136151742375 in words is "one hundred thirty-six billion, one hundred fifty-one million, seven hundred forty-two thousand, three hundred seventy-five".

Divisors: 1 3 5 9 11 15 25 27 33 45 55 75 99 125 135 165 225 275 297 375 495 675 825 1125 1375 1485 2475 3375 4125 7425 12375 37125 3667387 11002161 18336935 33006483 40341257 55010805 91684675 99019449 121023771 165032415 201706285 275054025 363071313 458423375 495097245 605118855 825162075 1008531425 1089213939 1375270125 1815356565 2475486225 3025594275 4125810375 5042657125 5446069695 9076782825 12377431125 15127971375 27230348475 45383914125 136151742375