125195361984 has 1344 divisors, whose sum is σ = 499559104512. Its totient is φ = 29013811200.

The previous prime is 125195361971. The next prime is 125195361997. The reversal of 125195361984 is 489163591521.

125195361984 is a `hidden beast` number, since 1 + 2 + 5 + 19 + 5 + 3 + 619 + 8 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (125195361971) and next prime (125195361997).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 125195361984.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1170050059 + ... + 1170050165.

Almost surely, 2^125195361984 is an apocalyptic number.

125195361984 is a gapful number since it is divisible by the number (14) 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 125195361984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249779552256).

125195361984 is an abundant number, since it is smaller than the sum of its proper divisors (374363742528).

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

125195361984 is a wasteful number, since it uses less digits than its factorization.

125195361984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 221 counting only the distinct ones).

The product of its digits is 2332800, while the sum is 54.

The spelling of 125195361984 in words is "one hundred twenty-five billion, one hundred ninety-five million, three hundred sixty-one thousand, nine hundred eighty-four".