Search a number
-
+
137342051 = 72111913411
BaseRepresentation
bin10000010111110…
…10110001100011
3100120102200212122
420023322301203
5240124421201
621343414455
73255250100
oct1013726143
9316380778
10137342051
1170587130
1239bb442b
13225b95b2
1414351aa7
15c0cde1b
hex82fac63

137342051 has 24 divisors (see below), whose sum is σ = 183476160. Its totient is φ = 101379600.

The previous prime is 137342021. The next prime is 137342069. The reversal of 137342051 is 150243731.

137342051 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 137342051 - 214 = 137325667 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 137342051.

It is not an unprimeable number, because it can be changed into a prime (137342011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3536 + ... + 16946.

It is an arithmetic number, because the mean of its divisors is an integer number (7644840).

Almost surely, 2137342051 is an apocalyptic number.

137342051 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

137342051 is a deficient number, since it is larger than the sum of its proper divisors (46134109).

137342051 is a wasteful number, since it uses less digits than its factorization.

137342051 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13455 (or 13448 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 137342051 is about 11719.3024963092. The cubic root of 137342051 is about 515.9423485356.

Adding to 137342051 its reverse (150243731), we get a palindrome (287585782).

The spelling of 137342051 in words is "one hundred thirty-seven million, three hundred forty-two thousand, fifty-one".

Divisors: 1 7 11 19 49 77 133 209 539 931 1463 10241 13411 93877 147521 254809 657139 1032647 1783663 2802899 7228529 12485641 19620293 137342051