125464080 has 320 divisors, whose sum is σ = 493682688. Its totient is φ = 25681920.

The previous prime is 125464061. The next prime is 125464093. The reversal of 125464080 is 80464521.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 656785 + ... + 656975.

Almost surely, 2^125464080 is an apocalyptic number.

125464080 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 125464080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246841344).

125464080 is an abundant number, since it is smaller than the sum of its proper divisors (368218608).

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

125464080 is a wasteful number, since it uses less digits than its factorization.

125464080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 125464080 is about 11201.0749484145. The cubic root of 125464080 is about 500.6180091480.

The spelling of 125464080 in words is "one hundred twenty-five million, four hundred sixty-four thousand, eighty".