125845664 has 48 divisors (see below), whose sum is σ = 298065600. Its totient is φ = 51093504.

The previous prime is 125845663. The next prime is 125845667. The reversal of 125845664 is 466548521.

125845664 = T₃₁₅ + T₃₁₆ + ... + T₉₂₂.

It is a super-2 number, since 2×125845664² = 31674262295201792, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (125845661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10529 + ... + 19040.

It is an arithmetic number, because the mean of its divisors is an integer number (6209700).

Almost surely, 2^125845664 is an apocalyptic number.

125845664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

125845664 is an abundant number, since it is smaller than the sum of its proper divisors (172219936).

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

125845664 is a wasteful number, since it uses less digits than its factorization.

125845664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29605 (or 29597 counting only the distinct ones).

The product of its digits is 230400, while the sum is 41.

The square root of 125845664 is about 11218.0953820156. The cubic root of 125845664 is about 501.1250187670.

The spelling of 125845664 in words is "one hundred twenty-five million, eight hundred forty-five thousand, six hundred sixty-four".