125388933198400 has 189 divisors, whose sum is σ = 309977926101963. Its totient is φ = 49922123212800.

The previous prime is 125388933198371. The next prime is 125388933198409. The reversal of 125388933198400 is 4891339883521.

The square root of 125388933198400 is 11197720.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 24369387679296 + 101019545519104 = 4936536^2 + 10050848^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (125388933198409) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 121383284284 + ... + 121383285316.

Almost surely, 2^{125388933198400} is an apocalyptic number.

125388933198400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

125388933198400 is the 11197720-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125388933198400

125388933198400 is an abundant number, since it is smaller than the sum of its proper divisors (184588992903563).

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

125388933198400 is an frugal number, since it uses more digits than its factorization.

125388933198400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2630 (or 1311 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 64.

125388933198400 divided by its sum of digits (64) gives a square (1959202081225 = 1399715²).

The spelling of 125388933198400 in words is "one hundred twenty-five trillion, three hundred eighty-eight billion, nine hundred thirty-three million, one hundred ninety-eight thousand, four hundred".