125182817280 has 440 divisors, whose sum is σ = 451781088000. Its totient is φ = 33144422400.

The previous prime is 125182817269. The next prime is 125182817339. The reversal of 125182817280 is 82718281521.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 62621721 + ... + 62623719.

It is an arithmetic number, because the mean of its divisors is an integer number (1026775200).

Almost surely, 2^125182817280 is an apocalyptic number.

125182817280 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 125182817280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225890544000).

125182817280 is an abundant number, since it is smaller than the sum of its proper divisors (326598270720).

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

125182817280 is a wasteful number, since it uses less digits than its factorization.

125182817280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2187 (or 2160 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 45.

The spelling of 125182817280 in words is "one hundred twenty-five billion, one hundred eighty-two million, eight hundred seventeen thousand, two hundred eighty".