137825840 has 60 divisors (see below), whose sum is σ = 326488032. Its totient is φ = 54109440.

The previous prime is 137825837. The next prime is 137825843. The reversal of 137825840 is 48528731.

It is an interprime number because it is at equal distance from previous prime (137825837) and next prime (137825843).

It is a junction number, because it is equal to n+sod(n) for n = 137825794 and 137825803.

It is not an unprimeable number, because it can be changed into a prime (137825843) 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 11 ways as a sum of consecutive naturals, for example, 297449 + ... + 297911.

Almost surely, 2^137825840 is an apocalyptic number.

137825840 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 137825840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163244016).

137825840 is an abundant number, since it is smaller than the sum of its proper divisors (188662192).

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

137825840 is an equidigital number, since it uses as much as digits as its factorization.

137825840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 38.

The square root of 137825840 is about 11739.9250423501. The cubic root of 137825840 is about 516.5474429496.

The spelling of 137825840 in words is "one hundred thirty-seven million, eight hundred twenty-five thousand, eight hundred forty".