125954400 has 288 divisors, whose sum is σ = 482969088. Its totient is φ = 28108800.

The previous prime is 125954399. The next prime is 125954429. The reversal of 125954400 is 4459521.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 343017 + ... + 343383.

It is an arithmetic number, because the mean of its divisors is an integer number (1676976).

Almost surely, 2^125954400 is an apocalyptic number.

125954400 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 125954400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241484544).

125954400 is an abundant number, since it is smaller than the sum of its proper divisors (357014688).

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

125954400 is a wasteful number, since it uses less digits than its factorization.

125954400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 125954400 is about 11222.9407910761. The cubic root of 125954400 is about 501.2693083194.

The spelling of 125954400 in words is "one hundred twenty-five million, nine hundred fifty-four thousand, four hundred".