125456430 has 192 divisors, whose sum is σ = 372314880. Its totient is φ = 26864640.

The previous prime is 125456423. The next prime is 125456477. The reversal of 125456430 is 34654521.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1172437 + ... + 1172543.

It is an arithmetic number, because the mean of its divisors is an integer number (1939140).

Almost surely, 2^125456430 is an apocalyptic number.

125456430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 125456430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186157440).

125456430 is an abundant number, since it is smaller than the sum of its proper divisors (246858450).

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

125456430 is a wasteful number, since it uses less digits than its factorization.

125456430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 125456430 is about 11200.7334581267. The cubic root of 125456430 is about 500.6078341093.

The spelling of 125456430 in words is "one hundred twenty-five million, four hundred fifty-six thousand, four hundred thirty".