419165136 has 180 divisors, whose sum is σ = 1310986404. Its totient is φ = 124277760.

The previous prime is 419165113. The next prime is 419165143. The reversal of 419165136 is 631561914.

It can be written as a sum of positive squares in 2 ways, for example, as 73205136 + 345960000 = 8556^2 + 18600^2 .

It is a super-2 number, since 2×419165136² = 351398822475796992, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 419165136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1798876 + ... + 1799108.

Almost surely, 2^419165136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 419165136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655493202).

419165136 is an abundant number, since it is smaller than the sum of its proper divisors (891821268).

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

419165136 is a wasteful number, since it uses less digits than its factorization.

419165136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 282 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 419165136 is about 20473.5228038557. The cubic root of 419165136 is about 748.3907040251.

The spelling of 419165136 in words is "four hundred nineteen million, one hundred sixty-five thousand, one hundred thirty-six".