125651600 has 30 divisors (see below), whose sum is σ = 301878930. Its totient is φ = 50260480.

The previous prime is 125651597. The next prime is 125651609. The reversal of 125651600 is 6156521.

It can be written as a sum of positive squares in 3 ways, for example, as 40347904 + 85303696 = 6352^2 + 9236^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 125651600.

It is not an unprimeable number, because it can be changed into a prime (125651609) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 156665 + ... + 157464.

It is an arithmetic number, because the mean of its divisors is an integer number (10062631).

Almost surely, 2^125651600 is an apocalyptic number.

125651600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125651600 is an abundant number, since it is smaller than the sum of its proper divisors (176227330).

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

125651600 is a wasteful number, since it uses less digits than its factorization.

125651600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314147 (or 314136 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 26.

The square root of 125651600 is about 11209.4424482219. The cubic root of 125651600 is about 500.8672947299.

The spelling of 125651600 in words is "one hundred twenty-five million, six hundred fifty-one thousand, six hundred".