Search a number
-
+
137023601 = 11136471481
BaseRepresentation
bin10000010101011…
…01000001110001
3100112211112001012
420022231001301
5240034223401
621332520305
73252452501
oct1012550161
9315745035
10137023601
1170389950
1239a80095
1322507670
14142aba01
15c0698bb
hex82ad071

137023601 has 16 divisors (see below), whose sum is σ = 161336448. Its totient is φ = 114729600.

The previous prime is 137023577. The next prime is 137023613. The reversal of 137023601 is 106320731.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 137023601 - 214 = 137007217 is a prime.

It is not an unprimeable number, because it can be changed into a prime (137023301) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 91781 + ... + 93261.

It is an arithmetic number, because the mean of its divisors is an integer number (10083528).

Almost surely, 2137023601 is an apocalyptic number.

137023601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

137023601 is a deficient number, since it is larger than the sum of its proper divisors (24312847).

137023601 is a wasteful number, since it uses less digits than its factorization.

137023601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2152.

The product of its (nonzero) digits is 756, while the sum is 23.

The square root of 137023601 is about 11705.7080520573. The cubic root of 137023601 is about 515.5432743739.

The spelling of 137023601 in words is "one hundred thirty-seven million, twenty-three thousand, six hundred one".

Divisors: 1 11 13 143 647 1481 7117 8411 16291 19253 92521 211783 958207 10540277 12456691 137023601