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137078046 = 23271957259
BaseRepresentation
bin10000010101110…
…10010100011110
3100112221021201200
420022322110132
5240042444141
621334020330
73253100310
oct1012722436
9315837650
10137078046
1170416846
1239aa76a6
1322526391
14142c37b0
15c07aab6
hex82ba51e

137078046 has 48 divisors (see below), whose sum is σ = 357302400. Its totient is φ = 37103184.

The previous prime is 137077979. The next prime is 137078083. The reversal of 137078046 is 640870731.

137078046 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 137078046.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26236 + ... + 31023.

It is an arithmetic number, because the mean of its divisors is an integer number (7443800).

Almost surely, 2137078046 is an apocalyptic number.

137078046 is an abundant number, since it is smaller than the sum of its proper divisors (220224354).

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

137078046 is a wasteful number, since it uses less digits than its factorization.

137078046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57293 (or 57290 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 137078046 is about 11708.0333959209. The cubic root of 137078046 is about 515.6115473735.

The spelling of 137078046 in words is "one hundred thirty-seven million, seventy-eight thousand, forty-six".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 57 63 114 126 133 171 266 342 399 798 1197 2394 57259 114518 171777 343554 400813 515331 801626 1030662 1087921 1202439 2175842 2404878 3263763 3607317 6527526 7214634 7615447 9791289 15230894 19582578 22846341 45692682 68539023 137078046