125535120 has 160 divisors (see below), whose sum is σ = 411402240. Its totient is φ = 31618560.

The previous prime is 125535101. The next prime is 125535131. The reversal of 125535120 is 21535521.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 349501 + ... + 349859.

It is an arithmetic number, because the mean of its divisors is an integer number (2571264).

Almost surely, 2^125535120 is an apocalyptic number.

125535120 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 125535120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205701120).

125535120 is an abundant number, since it is smaller than the sum of its proper divisors (285867120).

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

125535120 is a wasteful number, since it uses less digits than its factorization.

125535120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

The square root of 125535120 is about 11204.2456238696. The cubic root of 125535120 is about 500.7124776024.

The spelling of 125535120 in words is "one hundred twenty-five million, five hundred thirty-five thousand, one hundred twenty".