128137408 has 56 divisors (see below), whose sum is σ = 292100000. Its totient is φ = 54632448.

The previous prime is 128137391. The next prime is 128137421. The reversal of 128137408 is 804731821.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 101968 + ... + 103216.

Almost surely, 2^128137408 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 128137408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146050000).

128137408 is an abundant number, since it is smaller than the sum of its proper divisors (163962592).

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

128137408 is a wasteful number, since it uses less digits than its factorization.

128137408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1497 (or 1487 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The square root of 128137408 is about 11319.7795031529. The cubic root of 128137408 is about 504.1486921655.

The spelling of 128137408 in words is "one hundred twenty-eight million, one hundred thirty-seven thousand, four hundred eight".