193125916938240 has 936 divisors, whose sum is σ = 790775748988992. Its totient is φ = 43216911728640.

The previous prime is 193125916938221. The next prime is 193125916938257. The reversal of 193125916938240 is 42839619521391.

193125916938240 is a `hidden beast` number, since 1 + 9 + 3 + 1 + 2 + 59 + 169 + 382 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (936).

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 71 ways as a sum of consecutive naturals, for example, 342369069 + ... + 342932691.

It is an arithmetic number, because the mean of its divisors is an integer number (844845885672).

Almost surely, 2^{193125916938240} is an apocalyptic number.

193125916938240 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 193125916938240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395387874494496).

193125916938240 is an abundant number, since it is smaller than the sum of its proper divisors (597649832050752).

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

193125916938240 is a wasteful number, since it uses less digits than its factorization.

193125916938240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563695 (or 563657 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 63.

The spelling of 193125916938240 in words is "one hundred ninety-three trillion, one hundred twenty-five billion, nine hundred sixteen million, nine hundred thirty-eight thousand, two hundred forty".