137222040 has 64 divisors (see below), whose sum is σ = 413890560. Its totient is φ = 36394880.

The previous prime is 137221967. The next prime is 137222053. The reversal of 137222040 is 40222731.

137222040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 137221998 and 137222016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19927 + ... + 25913.

It is an arithmetic number, because the mean of its divisors is an integer number (6467040).

Almost surely, 2^137222040 is an apocalyptic number.

137222040 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 137222040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206945280).

137222040 is an abundant number, since it is smaller than the sum of its proper divisors (276668520).

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

137222040 is a wasteful number, since it uses less digits than its factorization.

137222040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6192 (or 6188 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 137222040 is about 11714.1811493591. The cubic root of 137222040 is about 515.7920260365.

Adding to 137222040 its reverse (40222731), we get a palindrome (177444771).

The spelling of 137222040 in words is "one hundred thirty-seven million, two hundred twenty-two thousand, forty".