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137149 = 236789
BaseRepresentation
bin100001011110111101
320222010121
4201132331
513342044
62534541
71110565
oct413675
9228117
10137149
1194051
1267451
134a56c
1437da5
152a984
hex217bd

137149 has 8 divisors (see below), whose sum is σ = 146880. Its totient is φ = 127776.

The previous prime is 137147. The next prime is 137153. The reversal of 137149 is 941731.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a 3-Lehmer number, since φ(137149) divides (137149-1)3.

It is a cyclic number.

It is not a de Polignac number, because 137149 - 21 = 137147 is a prime.

It is an Ulam number.

It is a deceptive number, since it divides R137148.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137143) 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 7 ways as a sum of consecutive naturals, for example, 1497 + ... + 1585.

It is an arithmetic number, because the mean of its divisors is an integer number (18360).

It is a Poulet number, since it divides 2137148-1.

2137149 is an apocalyptic number.

It is an amenable number.

137149 is a deficient number, since it is larger than the sum of its proper divisors (9731).

137149 is an equidigital number, since it uses as much as digits as its factorization.

137149 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179.

The product of its digits is 756, while the sum is 25.

The square root of 137149 is about 370.3363336212. The cubic root of 137149 is about 51.5700495221.

The spelling of 137149 in words is "one hundred thirty-seven thousand, one hundred forty-nine".

Divisors: 1 23 67 89 1541 2047 5963 137149