125281935360 has 672 divisors, whose sum is σ = 462856185792. Its totient is φ = 32487505920.

The previous prime is 125281935329. The next prime is 125281935439. The reversal of 125281935360 is 63539182521.

125281935360 is a `hidden beast` number, since 1 + 2 + 5 + 28 + 1 + 93 + 536 + 0 = 666.

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

It is an unprimeable number.

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, 408084327 + ... + 408084633.

It is an arithmetic number, because the mean of its divisors is an integer number (688774086).

Almost surely, 2^125281935360 is an apocalyptic number.

125281935360 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 125281935360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231428092896).

125281935360 is an abundant number, since it is smaller than the sum of its proper divisors (337574250432).

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

125281935360 is an frugal number, since it uses more digits than its factorization.

125281935360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 125281935360 in words is "one hundred twenty-five billion, two hundred eighty-one million, nine hundred thirty-five thousand, three hundred sixty".