128119761 has 63 divisors (see below), whose sum is σ = 237317353. Its totient is φ = 66555720.

The previous prime is 128119753. The next prime is 128119777. The reversal of 128119761 is 167911821.

The square root of 128119761 is 11319.

It is a perfect power (a square), and thus also a powerful number.

It is a tau number, because it is divible by the number of its divisors (63).

It is not a de Polignac number, because 128119761 - 2³ = 128119753 is a prime.

Its product of digits (6048) is a multiple of the sum of its prime divisors (21).

It is not an unprimeable number, because it can be changed into a prime (128119721) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 11647246 + ... + 11647256.

Almost surely, 2^128119761 is an apocalyptic number.

128119761 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

128119761 is the 11319-th square number.

128119761 is the 5660-th centered octagonal number.

It is an amenable number.

128119761 is a deficient number, since it is larger than the sum of its proper divisors (109197592).

128119761 is an frugal number, since it uses more digits than its factorization.

128119761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 21 counting only the distinct ones).

The product of its digits is 6048, while the sum is 36.

The cubic root of 128119761 is about 504.1255474270.

Multiplying 128119761 by its sum of digits (36), we get a square (4612311396 = 67914²).

The spelling of 128119761 in words is "one hundred twenty-eight million, one hundred nineteen thousand, seven hundred sixty-one".