125853984 has 36 divisors (see below), whose sum is σ = 357898086. Its totient is φ = 41951232.

The previous prime is 125853977. The next prime is 125853989. The reversal of 125853984 is 489358521.

125853984 is a `hidden beast` number, since 1 + 258 + 5 + 398 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 124813584 + 1040400 = 11172^2 + 1020^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (125853989) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 218209 + ... + 218784.

Almost surely, 2^125853984 is an apocalyptic number.

It is an amenable number.

125853984 is an abundant number, since it is smaller than the sum of its proper divisors (232044102).

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

125853984 is a wasteful number, since it uses less digits than its factorization.

125853984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437009 (or 436998 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The square root of 125853984 is about 11218.4662053241. The cubic root of 125853984 is about 501.1360621041.

The spelling of 125853984 in words is "one hundred twenty-five million, eight hundred fifty-three thousand, nine hundred eighty-four".