125264000 has 64 divisors (see below), whose sum is σ = 311477400. Its totient is φ = 50099200.

The previous prime is 125263997. The next prime is 125264011. The reversal of 125264000 is 462521.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 15936064 + 109327936 = 3992^2 + 10456^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12086 + ... + 19914.

Almost surely, 2^125264000 is an apocalyptic number.

125264000 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 125264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155738700).

125264000 is an abundant number, since it is smaller than the sum of its proper divisors (186213400).

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

125264000 is an frugal number, since it uses more digits than its factorization.

125264000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7858 (or 7836 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 125264000 is about 11192.1400991946. The cubic root of 125264000 is about 500.3517524824.

The spelling of 125264000 in words is "one hundred twenty-five million, two hundred sixty-four thousand".