125379334080 has 2688 divisors, whose sum is σ = 642128256000. Its totient is φ = 22574039040.

The previous prime is 125379334063. The next prime is 125379334097. The reversal of 125379334080 is 80433973521.

125379334080 is a `hidden beast` number, since 1 + 2 + 537 + 9 + 3 + 34 + 0 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (125379334063) and next prime (125379334097).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 383 ways as a sum of consecutive naturals, for example, 1150269066 + ... + 1150269174.

It is an arithmetic number, because the mean of its divisors is an integer number (238887000).

Almost surely, 2^125379334080 is an apocalyptic number.

125379334080 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 125379334080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321064128000).

125379334080 is an abundant number, since it is smaller than the sum of its proper divisors (516748921920).

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

125379334080 is a wasteful number, since it uses less digits than its factorization.

125379334080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 125379334080 in words is "one hundred twenty-five billion, three hundred seventy-nine million, three hundred thirty-four thousand, eighty".