Search a number
-
+
137464290 = 2345169709
BaseRepresentation
bin10000011000110…
…00100111100010
3100120122220120000
420030120213202
5240142324130
621350200430
73256266345
oct1014304742
9316586500
10137464290
117065aa57
123a053116
1322630122
141438445c
15c105260
hex83189e2

137464290 has 40 divisors (see below), whose sum is σ = 369628380. Its totient is φ = 36656928.

The previous prime is 137464289. The next prime is 137464319. The reversal of 137464290 is 92464731.

137464290 is a `hidden beast` number, since 1 + 3 + 7 + 4 + 642 + 9 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 137100681 + 363609 = 11709^2 + 603^2 .

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 84045 + ... + 85664.

Almost surely, 2137464290 is an apocalyptic number.

137464290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

137464290 is an abundant number, since it is smaller than the sum of its proper divisors (232164090).

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

137464290 is a wasteful number, since it uses less digits than its factorization.

137464290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169728 (or 169719 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 137464290 is about 11724.5166211661. The cubic root of 137464290 is about 516.0953717711.

The spelling of 137464290 in words is "one hundred thirty-seven million, four hundred sixty-four thousand, two hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 169709 339418 509127 848545 1018254 1527381 1697090 2545635 3054762 4582143 5091270 7636905 9164286 13746429 15273810 22910715 27492858 45821430 68732145 137464290