125133120 has 224 divisors, whose sum is σ = 504748800. Its totient is φ = 28588032.

The previous prime is 125133109. The next prime is 125133121. The reversal of 125133120 is 21331521.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 125133093 and 125133102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125133121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59446 + ... + 61514.

Almost surely, 2^125133120 is an apocalyptic number.

125133120 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 125133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252374400).

125133120 is an abundant number, since it is smaller than the sum of its proper divisors (379615680).

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

125133120 is a wasteful number, since it uses less digits than its factorization.

125133120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2102 (or 2086 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 125133120 is about 11186.2916107171. The cubic root of 125133120 is about 500.1774303628.

Adding to 125133120 its reverse (21331521), we get a palindrome (146464641).

The spelling of 125133120 in words is "one hundred twenty-five million, one hundred thirty-three thousand, one hundred twenty".