125125001264 has 80 divisors (see below), whose sum is σ = 265778301600. Its totient is φ = 56801267712.

The previous prime is 125125001237. The next prime is 125125001273. The reversal of 125125001264 is 462100521521.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9687899 + ... + 9700805.

It is an arithmetic number, because the mean of its divisors is an integer number (3322228770).

Almost surely, 2^125125001264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125125001264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132889150800).

125125001264 is an abundant number, since it is smaller than the sum of its proper divisors (140653300336).

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

125125001264 is a wasteful number, since it uses less digits than its factorization.

125125001264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14190 (or 14184 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

Adding to 125125001264 its reverse (462100521521), we get a palindrome (587225522785).

The spelling of 125125001264 in words is "one hundred twenty-five billion, one hundred twenty-five million, one thousand, two hundred sixty-four".