125216460 has 216 divisors, whose sum is σ = 419380416. Its totient is φ = 30205440.

The previous prime is 125216453. The next prime is 125216477. The reversal of 125216460 is 64612521.

125216460 is a `hidden beast` number, since 12 + 5 + 2 + 1 + 646 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2664157 + ... + 2664203.

It is an arithmetic number, because the mean of its divisors is an integer number (1941576).

Almost surely, 2^125216460 is an apocalyptic number.

125216460 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 125216460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209690208).

125216460 is an abundant number, since it is smaller than the sum of its proper divisors (294163956).

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

125216460 is a wasteful number, since it uses less digits than its factorization.

125216460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 117 counting only the distinct ones).

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

The square root of 125216460 is about 11190.0160857793. The cubic root of 125216460 is about 500.2884468981.

Adding to 125216460 its reverse (64612521), we get a palindrome (189828981).

It can be divided in two parts, 12521 and 6460, that added together give a palindrome (18981).

The spelling of 125216460 in words is "one hundred twenty-five million, two hundred sixteen thousand, four hundred sixty".