137420480 has 56 divisors (see below), whose sum is σ = 334231488. Its totient is φ = 53792768.

The previous prime is 137420443. The next prime is 137420513. The reversal of 137420480 is 84024731.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 10472 + ... + 19608.

Almost surely, 2^137420480 is an apocalyptic number.

137420480 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 137420480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167115744).

137420480 is an abundant number, since it is smaller than the sum of its proper divisors (196811008).

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

137420480 is an equidigital number, since it uses as much as digits as its factorization.

137420480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9201 (or 9191 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 137420480 is about 11722.6481649839. The cubic root of 137420480 is about 516.0405392503.

The spelling of 137420480 in words is "one hundred thirty-seven million, four hundred twenty thousand, four hundred eighty".