137484482520 has 384 divisors, whose sum is σ = 524212093440. Its totient is φ = 28023889920.

The previous prime is 137484482491. The next prime is 137484482533. The reversal of 137484482520 is 25284484731.

It is a Cunningham number, because it is equal to 370789²-1.

It is a self number, because there is not a number n which added to its sum of digits gives 137484482520.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25952512 + ... + 25957808.

It is an arithmetic number, because the mean of its divisors is an integer number (1365135660).

Almost surely, 2^137484482520 is an apocalyptic number.

137484482520 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 137484482520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262106046720).

137484482520 is an abundant number, since it is smaller than the sum of its proper divisors (386727610920).

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

137484482520 is a wasteful number, since it uses less digits than its factorization.

137484482520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5435 (or 5378 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 48.

The spelling of 137484482520 in words is "one hundred thirty-seven billion, four hundred eighty-four million, four hundred eighty-two thousand, five hundred twenty".