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137500 = 225511
BaseRepresentation
bin100001100100011100
320222121121
4201210130
513400000
62540324
71111606
oct414434
9228547
10137500
1194340
12676a4
134a77c
1438176
152ab1a
hex2191c

137500 has 36 divisors (see below), whose sum is σ = 328104. Its totient is φ = 50000.

The previous prime is 137491. The next prime is 137507. The reversal of 137500 is 5731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12495 + ... + 12505.

It is an arithmetic number, because the mean of its divisors is an integer number (9114).

2137500 is an apocalyptic number.

137500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164052).

137500 is an abundant number, since it is smaller than the sum of its proper divisors (190604).

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

137500 is an equidigital number, since it uses as much as digits as its factorization.

137500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 105, while the sum is 16.

The square root of 137500 is about 370.8099243548. The cubic root of 137500 is about 51.6140057728.

Subtracting from 137500 its reverse (5731), we obtain a square (131769 = 3632).

The spelling of 137500 in words is "one hundred thirty-seven thousand, five hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 125 220 250 275 500 550 625 1100 1250 1375 2500 2750 3125 5500 6250 6875 12500 13750 27500 34375 68750 137500