125523820 has 48 divisors (see below), whose sum is σ = 269680320. Its totient is φ = 49065984.

The previous prime is 125523817. The next prime is 125523829. The reversal of 125523820 is 28325521.

It is a super-3 number, since 3×125523820³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (125523829) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 172297 + ... + 173023.

It is an arithmetic number, because the mean of its divisors is an integer number (5618340).

Almost surely, 2^125523820 is an apocalyptic number.

125523820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125523820 is an abundant number, since it is smaller than the sum of its proper divisors (144156500).

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

125523820 is a wasteful number, since it uses less digits than its factorization.

125523820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 922 (or 920 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 125523820 is about 11203.7413393919. The cubic root of 125523820 is about 500.6974533320.

The spelling of 125523820 in words is "one hundred twenty-five million, five hundred twenty-three thousand, eight hundred twenty".