125048261700 has 432 divisors, whose sum is σ = 432358827264. Its totient is φ = 31240857600.

The previous prime is 125048261671. The next prime is 125048261707. The reversal of 125048261700 is 7162840521.

125048261700 is a `hidden beast` number, since 1 + 2 + 5 + 0 + 482 + 6 + 170 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (125048261707) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 111949542 + ... + 111950658.

Almost surely, 2^125048261700 is an apocalyptic number.

125048261700 is a gapful number since it is divisible by the number (10) 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 125048261700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216179413632).

125048261700 is an abundant number, since it is smaller than the sum of its proper divisors (307310565564).

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

125048261700 is a wasteful number, since it uses less digits than its factorization.

125048261700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1434 (or 1415 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 125048261700 in words is "one hundred twenty-five billion, forty-eight million, two hundred sixty-one thousand, seven hundred".