125281149520 has 120 divisors (see below), whose sum is σ = 297827652096. Its totient is φ = 49005813504.

The previous prime is 125281149517. The next prime is 125281149577. The reversal of 125281149520 is 25941182521.

It is a happy number.

125281149520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 56764257 + ... + 56766463.

Almost surely, 2^125281149520 is an apocalyptic number.

125281149520 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 125281149520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148913826048).

125281149520 is an abundant number, since it is smaller than the sum of its proper divisors (172546502576).

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

125281149520 is a wasteful number, since it uses less digits than its factorization.

125281149520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2489 (or 2400 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 40.

The spelling of 125281149520 in words is "one hundred twenty-five billion, two hundred eighty-one million, one hundred forty-nine thousand, five hundred twenty".