125888197248 has 384 divisors, whose sum is σ = 427823985600. Its totient is φ = 36136212480.

The previous prime is 125888197231. The next prime is 125888197277. The reversal of 125888197248 is 842791888521.

125888197248 is a `hidden beast` number, since 1 + 2 + 588 + 8 + 1 + 9 + 7 + 2 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 13719190 + ... + 13728362.

Almost surely, 2^125888197248 is an apocalyptic number.

125888197248 is a gapful number since it is divisible by the number (18) 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 125888197248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213911992800).

125888197248 is an abundant number, since it is smaller than the sum of its proper divisors (301935788352).

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

125888197248 is a wasteful number, since it uses less digits than its factorization.

125888197248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9245 (or 9208 counting only the distinct ones).

The product of its digits is 20643840, while the sum is 63.

The spelling of 125888197248 in words is "one hundred twenty-five billion, eight hundred eighty-eight million, one hundred ninety-seven thousand, two hundred forty-eight".