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137740 = 2257197
BaseRepresentation
bin100001101000001100
320222221111
4201220030
513401430
62541404
71112401
oct415014
9228844
10137740
1194539
1267864
134a905
14382a8
152ac2a
hex21a0c

137740 has 24 divisors (see below), whose sum is σ = 296352. Its totient is φ = 53760.

The previous prime is 137737. The next prime is 137743. The reversal of 137740 is 47731.

It is an interprime number because it is at equal distance from previous prime (137737) and next prime (137743).

It is a d-powerful number, because it can be written as 1 + 39 + 73 + 76 + 43 + 0 .

It is a zygodrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (137743) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1372 + ... + 1468.

It is an arithmetic number, because the mean of its divisors is an integer number (12348).

2137740 is an apocalyptic number.

137740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137740 is an abundant number, since it is smaller than the sum of its proper divisors (158612).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

137740 is a wasteful number, since it uses less digits than its factorization.

137740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 22.

The square root of 137740 is about 371.1333991976. The cubic root of 137740 is about 51.6440182848.

Subtracting from 137740 its reverse (47731), we obtain a palindrome (90009).

The spelling of 137740 in words is "one hundred thirty-seven thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 71 97 142 194 284 355 388 485 710 970 1420 1940 6887 13774 27548 34435 68870 137740