125831946240 has 2016 divisors, whose sum is σ = 609126755328. Its totient is φ = 23357030400.

The previous prime is 125831946217. The next prime is 125831946257. The reversal of 125831946240 is 42649138521.

125831946240 is a `hidden beast` number, since 1 + 2 + 5 + 8 + 3 + 19 + 4 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4059095025 + ... + 4059095055.

It is an arithmetic number, because the mean of its divisors is an integer number (302146208).

Almost surely, 2^125831946240 is an apocalyptic number.

125831946240 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 125831946240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304563377664).

125831946240 is an abundant number, since it is smaller than the sum of its proper divisors (483294809088).

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

125831946240 is a wasteful number, since it uses less digits than its factorization.

125831946240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 125831946240 in words is "one hundred twenty-five billion, eight hundred thirty-one million, nine hundred forty-six thousand, two hundred forty".