125345973600 has 432 divisors, whose sum is σ = 449331678432. Its totient is φ = 32876052480.

The previous prime is 125345973559. The next prime is 125345973601. The reversal of 125345973600 is 6379543521.

125345973600 is a `hidden beast` number, since 1 + 2 + 5 + 34 + 5 + 9 + 7 + 3 + 600 = 666.

It is a super-2 number, since 2×125345973600² (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 not an unprimeable number, because it can be changed into a prime (125345973601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 128296312 + ... + 128297288.

It is an arithmetic number, because the mean of its divisors is an integer number (1040119626).

Almost surely, 2^125345973600 is an apocalyptic number.

125345973600 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 125345973600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224665839216).

125345973600 is an abundant number, since it is smaller than the sum of its proper divisors (323985704832).

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

125345973600 is a wasteful number, since it uses less digits than its factorization.

125345973600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1279 (or 1263 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 125345973600 in words is "one hundred twenty-five billion, three hundred forty-five million, nine hundred seventy-three thousand, six hundred".