125337305016000 has 10080 divisors, whose sum is σ = 667333395368640. Its totient is φ = 22992076800000.

The previous prime is 125337305015987. The next prime is 125337305016067. The reversal of 125337305016000 is 610503733521.

125337305016000 is a `hidden beast` number, since 1 + 2 + 5 + 337 + 305 + 0 + 16 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (10080).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 1439 ways as a sum of consecutive naturals, for example, 1240963415950 + ... + 1240963416050.

It is an arithmetic number, because the mean of its divisors is an integer number (66203709858).

Almost surely, 2^{125337305016000} is an apocalyptic number.

125337305016000 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 125337305016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333666697684320).

125337305016000 is an abundant number, since it is smaller than the sum of its proper divisors (541996090352640).

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

125337305016000 is a wasteful number, since it uses less digits than its factorization.

125337305016000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 36.

Adding to 125337305016000 its reverse (610503733521), we get a palindrome (125947808749521).

The spelling of 125337305016000 in words is "one hundred twenty-five trillion, three hundred thirty-seven billion, three hundred five million, sixteen thousand".