190125593460 has 288 divisors, whose sum is σ = 658599911424. Its totient is φ = 43975008000.

The previous prime is 190125593423. The next prime is 190125593467. The reversal of 190125593460 is 64395521091.

190125593460 is a `hidden beast` number, since 1 + 9 + 0 + 1 + 2 + 559 + 34 + 60 = 666.

190125593460 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×190125593460² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190125593467) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4336167 + ... + 4379793.

It is an arithmetic number, because the mean of its divisors is an integer number (2286805248).

Almost surely, 2^190125593460 is an apocalyptic number.

190125593460 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 190125593460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329299955712).

190125593460 is an abundant number, since it is smaller than the sum of its proper divisors (468474317964).

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

190125593460 is a wasteful number, since it uses less digits than its factorization.

190125593460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43755 (or 43750 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 190125593460 in words is "one hundred ninety billion, one hundred twenty-five million, five hundred ninety-three thousand, four hundred sixty".