125734625280 has 672 divisors, whose sum is σ = 481748275008. Its totient is φ = 30081024000.

The previous prime is 125734625273. The next prime is 125734625281. The reversal of 125734625280 is 82526437521.

125734625280 is a `hidden beast` number, since 1 + 2 + 5 + 7 + 346 + 25 + 280 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (125734625281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 409558887 + ... + 409559193.

It is an arithmetic number, because the mean of its divisors is an integer number (716887314).

Almost surely, 2^125734625280 is an apocalyptic number.

125734625280 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 125734625280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240874137504).

125734625280 is an abundant number, since it is smaller than the sum of its proper divisors (356013649728).

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

125734625280 is a wasteful number, since it uses less digits than its factorization.

125734625280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 125734625280 in words is "one hundred twenty-five billion, seven hundred thirty-four million, six hundred twenty-five thousand, two hundred eighty".