125369964000 has 768 divisors, whose sum is σ = 488198430720. Its totient is φ = 31173120000.

The previous prime is 125369963963. The next prime is 125369964019. The reversal of 125369964000 is 469963521.

125369964000 is a `hidden beast` number, since 125 + 36 + 9 + 96 + 400 + 0 = 666.

It is a super-2 number, since 2×125369964000² (a number of 23 digits) contains 22 as substring.

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

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 127 ways as a sum of consecutive naturals, for example, 101843385 + ... + 101844615.

It is an arithmetic number, because the mean of its divisors is an integer number (635675040).

Almost surely, 2^125369964000 is an apocalyptic number.

125369964000 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 125369964000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244099215360).

125369964000 is an abundant number, since it is smaller than the sum of its proper divisors (362828466720).

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

125369964000 is a wasteful number, since it uses less digits than its factorization.

125369964000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1329 (or 1305 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 125369964000 in words is "one hundred twenty-five billion, three hundred sixty-nine million, nine hundred sixty-four thousand".