125745523200 has 1440 divisors, whose sum is σ = 529084469760. Its totient is φ = 29196288000.

The previous prime is 125745523147. The next prime is 125745523201. The reversal of 125745523200 is 2325547521.

125745523200 is a `hidden beast` number, since 1 + 2 + 5 + 74 + 552 + 32 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125745523201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1296345552 + ... + 1296345648.

Almost surely, 2^125745523200 is an apocalyptic number.

125745523200 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 125745523200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264542234880).

125745523200 is an abundant number, since it is smaller than the sum of its proper divisors (403338946560).

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

125745523200 is a wasteful number, since it uses less digits than its factorization.

125745523200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The spelling of 125745523200 in words is "one hundred twenty-five billion, seven hundred forty-five million, five hundred twenty-three thousand, two hundred".