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137242737 = 3215249193
BaseRepresentation
bin10000010111000…
…10100001110001
3100120020122122100
420023202201301
5240113231422
621341331013
73254354412
oct1013424161
9316218570
10137242737
1170519555
1239b66a69
1322583328
1414327809
15c0ae7ac
hex82e2871

137242737 has 6 divisors (see below), whose sum is σ = 198239522. Its totient is φ = 91495152.

The previous prime is 137242727. The next prime is 137242747. The reversal of 137242737 is 737242731.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (137242727) and next prime (137242747).

It can be written as a sum of positive squares in only one way, i.e., 114575616 + 22667121 = 10704^2 + 4761^2 .

It is not a de Polignac number, because 137242737 - 218 = 136980593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137242727) 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 5 ways as a sum of consecutive naturals, for example, 7624588 + ... + 7624605.

Almost surely, 2137242737 is an apocalyptic number.

It is an amenable number.

137242737 is a deficient number, since it is larger than the sum of its proper divisors (60996785).

137242737 is a wasteful number, since it uses less digits than its factorization.

137242737 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15249199 (or 15249196 counting only the distinct ones).

The product of its digits is 49392, while the sum is 36.

The square root of 137242737 is about 11715.0645324727. The cubic root of 137242737 is about 515.8179567856.

It can be divided in two parts, 13724 and 2737, that added together give a palindrome (16461).

The spelling of 137242737 in words is "one hundred thirty-seven million, two hundred forty-two thousand, seven hundred thirty-seven".

Divisors: 1 3 9 15249193 45747579 137242737