125142750092160 has 384 divisors, whose sum is σ = 454450355573760. Its totient is φ = 32901377402880.

The previous prime is 125142750092099. The next prime is 125142750092177. The reversal of 125142750092160 is 61290057241521.

125142750092160 is a `hidden beast` number, since 1 + 2 + 5 + 1 + 42 + 7 + 500 + 92 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5375209 + ... + 16708631.

It is an arithmetic number, because the mean of its divisors is an integer number (1183464467640).

Almost surely, 2^{125142750092160} is an apocalyptic number.

125142750092160 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 125142750092160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227225177786880).

125142750092160 is an abundant number, since it is smaller than the sum of its proper divisors (329307605481600).

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

125142750092160 is an equidigital number, since it uses as much as digits as its factorization.

125142750092160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11333528 (or 11333504 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 125142750092160 in words is "one hundred twenty-five trillion, one hundred forty-two billion, seven hundred fifty million, ninety-two thousand, one hundred sixty".