125201664 has 162 divisors, whose sum is σ = 420302610. Its totient is φ = 35739648.

The previous prime is 125201647. The next prime is 125201677. The reversal of 125201664 is 466102521.

It can be written as a sum of positive squares in only one way, i.e., 70560000 + 54641664 = 8400^2 + 7392^2 .

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 112342 + ... + 113450.

Almost surely, 2^125201664 is an apocalyptic number.

125201664 is a gapful number since it is divisible by the number (14) 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 125201664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210151305).

125201664 is an abundant number, since it is smaller than the sum of its proper divisors (295100946).

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

125201664 is a wasteful number, since it uses less digits than its factorization.

125201664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 125201664 is about 11189.3549411930. The cubic root of 125201664 is about 500.2687408642.

The spelling of 125201664 in words is "one hundred twenty-five million, two hundred one thousand, six hundred sixty-four".