137500220 has 96 divisors (see below), whose sum is σ = 342752256. Its totient is φ = 45676800.

The previous prime is 137500217. The next prime is 137500229. The reversal of 137500220 is 22005731.

137500220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 137500192 and 137500201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137500229) 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 31 ways as a sum of consecutive naturals, for example, 374477 + ... + 374843.

It is an arithmetic number, because the mean of its divisors is an integer number (3570336).

Almost surely, 2^137500220 is an apocalyptic number.

137500220 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 137500220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171376128).

137500220 is an abundant number, since it is smaller than the sum of its proper divisors (205252036).

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

137500220 is a wasteful number, since it uses less digits than its factorization.

137500220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 137500220 is about 11726.0487803863. The cubic root of 137500220 is about 516.1403330027.

Adding to 137500220 its reverse (22005731), we get a palindrome (159505951).

It can be divided in two parts, 137500 and 220, that multiplied together give a square (30250000 = 5500²).

The spelling of 137500220 in words is "one hundred thirty-seven million, five hundred thousand, two hundred twenty".