125458730496 has 280 divisors, whose sum is σ = 410017098744. Its totient is φ = 38016552960.

The previous prime is 125458730489. The next prime is 125458730503. The reversal of 125458730496 is 694037854521.

It is a happy number.

125458730496 is a `hidden beast` number, since 1 + 2 + 5 + 45 + 87 + 30 + 496 = 666.

It is an interprime number because it is at equal distance from previous prime (125458730489) and next prime (125458730503).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 4090450 + ... + 4121006.

It is a 1-persistent number, because it is pandigital, but 2⋅125458730496 = 250917460992 is not.

Almost surely, 2^125458730496 is an apocalyptic number.

125458730496 is a gapful number since it is divisible by the number (16) 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 125458730496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205008549372).

125458730496 is an abundant number, since it is smaller than the sum of its proper divisors (284558368248).

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

125458730496 is an frugal number, since it uses more digits than its factorization.

125458730496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30604 (or 30573 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 125458730496 in words is "one hundred twenty-five billion, four hundred fifty-eight million, seven hundred thirty thousand, four hundred ninety-six".