3135190088160 has 1728 divisors, whose sum is σ = 12793980326400. Its totient is φ = 695977132032.

The previous prime is 3135190088159. The next prime is 3135190088209. The reversal of 3135190088160 is 618800915313.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 13811409967 + ... + 13811410193.

It is an arithmetic number, because the mean of its divisors is an integer number (7403923800).

Almost surely, 2^{3135190088160} is an apocalyptic number.

3135190088160 is a gapful number since it is divisible by the number (30) 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 3135190088160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6396990163200).

3135190088160 is an abundant number, since it is smaller than the sum of its proper divisors (9658790238240).

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

3135190088160 is a wasteful number, since it uses less digits than its factorization.

3135190088160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 3135190088160 in words is "three trillion, one hundred thirty-five billion, one hundred ninety million, eighty-eight thousand, one hundred sixty".