137351424 has 144 divisors (see below), whose sum is σ = 432673920. Its totient is φ = 37847040.

The previous prime is 137351413. The next prime is 137351441. The reversal of 137351424 is 424153731.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 137351391 and 137351400.

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, 155464 + ... + 156344.

It is an arithmetic number, because the mean of its divisors is an integer number (3004680).

Almost surely, 2^137351424 is an apocalyptic number.

137351424 is a gapful number since it is divisible by the number (14) 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 137351424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216336960).

137351424 is an abundant number, since it is smaller than the sum of its proper divisors (295322496).

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

137351424 is an equidigital number, since it uses as much as digits as its factorization.

137351424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 936 (or 922 counting only the distinct ones).

The product of its digits is 10080, while the sum is 30.

The square root of 137351424 is about 11719.7023852997. The cubic root of 137351424 is about 515.9540852120.

The spelling of 137351424 in words is "one hundred thirty-seven million, three hundred fifty-one thousand, four hundred twenty-four".