125950464 has 100 divisors (see below), whose sum is σ = 376052754. Its totient is φ = 41969664.

The previous prime is 125950463. The next prime is 125950471. The reversal of 125950464 is 464059521.

125950464 is a `hidden beast` number, since 1 + 2 + 595 + 0 + 4 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 87609600 + 38340864 = 9360^2 + 6192^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (125950463) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 39954 + ... + 42990.

Almost surely, 2^125950464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125950464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188026377).

125950464 is an abundant number, since it is smaller than the sum of its proper divisors (250102290).

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

125950464 is an frugal number, since it uses more digits than its factorization.

125950464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3067 (or 3042 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 125950464 is about 11222.7654345977. The cubic root of 125950464 is about 501.2640868092.

The spelling of 125950464 in words is "one hundred twenty-five million, nine hundred fifty thousand, four hundred sixty-four".