125269028352 has 240 divisors, whose sum is σ = 394842415968. Its totient is φ = 38000148480.

The previous prime is 125269028333. The next prime is 125269028393. The reversal of 125269028352 is 253820962521.

125269028352 is a `hidden beast` number, since 1 + 2 + 526 + 90 + 2 + 8 + 35 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 125269028298 and 125269028307.

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, 4238458 + ... + 4267910.

Almost surely, 2^125269028352 is an apocalyptic number.

125269028352 is a gapful number since it is divisible by the number (12) 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 125269028352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197421207984).

125269028352 is an abundant number, since it is smaller than the sum of its proper divisors (269573387616).

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

125269028352 is a wasteful number, since it uses less digits than its factorization.

125269028352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29561 (or 29542 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 125269028352 in words is "one hundred twenty-five billion, two hundred sixty-nine million, twenty-eight thousand, three hundred fifty-two".