Search a number
-
+
137045416 = 2329590713
BaseRepresentation
bin10000010101100…
…10010110101000
3100112212121222011
420022302112220
5240040423131
621333205304
73252603214
oct1012622650
9315777864
10137045416
11703a4282
1239a90834
1322514581
14142b5944
15c0710b1
hex82b25a8

137045416 has 16 divisors (see below), whose sum is σ = 265821300. Its totient is φ = 66159744.

The previous prime is 137045413. The next prime is 137045437. The reversal of 137045416 is 614540731.

It can be written as a sum of positive squares in 2 ways, for example, as 135629316 + 1416100 = 11646^2 + 1190^2 .

It is a super-2 number, since 2×1370454162 = 37562892093226112, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (137045413) 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 3 ways as a sum of consecutive naturals, for example, 295125 + ... + 295588.

Almost surely, 2137045416 is an apocalyptic number.

It is an amenable number.

137045416 is a deficient number, since it is larger than the sum of its proper divisors (128775884).

137045416 is a wasteful number, since it uses less digits than its factorization.

137045416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590748 (or 590744 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 137045416 is about 11706.6398253299. The cubic root of 137045416 is about 515.5706321421.

The spelling of 137045416 in words is "one hundred thirty-seven million, forty-five thousand, four hundred sixteen".

Divisors: 1 2 4 8 29 58 116 232 590713 1181426 2362852 4725704 17130677 34261354 68522708 137045416