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137342381 = 1121135061
BaseRepresentation
bin10000010111110…
…10110110101101
3100120102201022212
420023322312231
5240124424011
621343420205
73255251051
oct1013726655
9316381285
10137342381
1170587400
1239bb4665
13225b97a7
1414351c61
15c0ce08b
hex82fadad

137342381 has 6 divisors (see below), whose sum is σ = 150963246. Its totient is φ = 124856600.

The previous prime is 137342377. The next prime is 137342441. The reversal of 137342381 is 183243731.

It can be written as a sum of positive squares in only one way, i.e., 117397225 + 19945156 = 10835^2 + 4466^2 .

It is not a de Polignac number, because 137342381 - 22 = 137342377 is a prime.

It is a super-2 number, since 2×1373423812 = 37725859237498322, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137342321) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 567410 + ... + 567651.

It is an arithmetic number, because the mean of its divisors is an integer number (25160541).

Almost surely, 2137342381 is an apocalyptic number.

137342381 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

137342381 is a deficient number, since it is larger than the sum of its proper divisors (13620865).

137342381 is a wasteful number, since it uses less digits than its factorization.

137342381 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1135083 (or 1135072 counting only the distinct ones).

The product of its digits is 12096, while the sum is 32.

The square root of 137342381 is about 11719.3165756370. The cubic root of 137342381 is about 515.9427617639.

The spelling of 137342381 in words is "one hundred thirty-seven million, three hundred forty-two thousand, three hundred eighty-one".

Divisors: 1 11 121 1135061 12485671 137342381