190125360 has 320 divisors, whose sum is σ = 707097600. Its totient is φ = 46835712.

The previous prime is 190125359. The next prime is 190125371. The reversal of 190125360 is 63521091.

It is a super-2 number, since 2×190125360² = 72295305030259200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2136196 + ... + 2136284.

It is an arithmetic number, because the mean of its divisors is an integer number (2209680).

Almost surely, 2^190125360 is an apocalyptic number.

190125360 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 190125360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353548800).

190125360 is an abundant number, since it is smaller than the sum of its proper divisors (516972240).

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

190125360 is a wasteful number, since it uses less digits than its factorization.

190125360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 190125360 is about 13788.5952874105. The cubic root of 190125360 is about 575.0161154904.

It can be divided in two parts, 1901 and 25360, that added together give a triangular number (27261 = T₂₃₃).

The spelling of 190125360 in words is "one hundred ninety million, one hundred twenty-five thousand, three hundred sixty".