137475760128 has 224 divisors, whose sum is σ = 419950026240. Its totient is φ = 39184957440.

The previous prime is 137475760049. The next prime is 137475760159. The reversal of 137475760128 is 821067574731.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106487163 + ... + 106488453.

Almost surely, 2^137475760128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137475760128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209975013120).

137475760128 is an abundant number, since it is smaller than the sum of its proper divisors (282474266112).

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

137475760128 is an equidigital number, since it uses as much as digits as its factorization.

137475760128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1946 (or 1922 counting only the distinct ones).

The product of its (nonzero) digits is 1975680, while the sum is 51.

The spelling of 137475760128 in words is "one hundred thirty-seven billion, four hundred seventy-five million, seven hundred sixty thousand, one hundred twenty-eight".