190172070144 has 162 divisors, whose sum is σ = 637833822990. Its totient is φ = 54334844928.

The previous prime is 190172070017. The next prime is 190172070149. The reversal of 190172070144 is 441070271091.

It can be written as a sum of positive squares in only one way, i.e., 150606086400 + 39565983744 = 388080^2 + 198912^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 190172070099 and 190172070108.

It is not an unprimeable number, because it can be changed into a prime (190172070149) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 729349 + ... + 955140.

Almost surely, 2^190172070144 is an apocalyptic number.

190172070144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

190172070144 is an abundant number, since it is smaller than the sum of its proper divisors (447661752846).

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

190172070144 is a wasteful number, since it uses less digits than its factorization.

190172070144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1684525 (or 1684501 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The spelling of 190172070144 in words is "one hundred ninety billion, one hundred seventy-two million, seventy thousand, one hundred forty-four".