125276400 has 360 divisors, whose sum is σ = 485727840. Its totient is φ = 29736960.

The previous prime is 125276387. The next prime is 125276401. The reversal of 125276400 is 4672521.

125276400 is a `hidden beast` number, since 1 + 252 + 7 + 6 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125276401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1407556 + ... + 1407644.

It is an arithmetic number, because the mean of its divisors is an integer number (1349244).

Almost surely, 2^125276400 is an apocalyptic number.

125276400 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 125276400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242863920).

125276400 is an abundant number, since it is smaller than the sum of its proper divisors (360451440).

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

125276400 is a wasteful number, since it uses less digits than its factorization.

125276400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 125276400 is about 11192.6940456710. The cubic root of 125276400 is about 500.3682620329.

The spelling of 125276400 in words is "one hundred twenty-five million, two hundred seventy-six thousand, four hundred".