125461600 has 144 divisors (see below), whose sum is σ = 341696880. Its totient is φ = 44595200.

The previous prime is 125461577. The next prime is 125461601. The reversal of 125461600 is 6164521.

It is a super-2 number, since 2×125461600² = 31481226149120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125461601) 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 23 ways as a sum of consecutive naturals, for example, 466266 + ... + 466534.

It is an arithmetic number, because the mean of its divisors is an integer number (2372895).

Almost surely, 2^125461600 is an apocalyptic number.

125461600 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 125461600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170848440).

125461600 is an abundant number, since it is smaller than the sum of its proper divisors (216235280).

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

125461600 is a wasteful number, since it uses less digits than its factorization.

125461600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 125461600 is about 11200.9642442068. The cubic root of 125461600 is about 500.6147106187.

The spelling of 125461600 in words is "one hundred twenty-five million, four hundred sixty-one thousand, six hundred".