4155146100 has 810 divisors, whose sum is σ = 17106698070. Its totient is φ = 868734720.

The previous prime is 4155146077. The next prime is 4155146113. The reversal of 4155146100 is 16415514.

4155146100 is a `hidden beast` number, since 4 + 1 + 551 + 4 + 6 + 100 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 280830564 + 3874315536 = 16758^2 + 62244^2 .

It is a tau number, because it is divible by the number of its divisors (810).

It is a super-2 number, since 2×4155146100² = 34530478224690420000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 269 ways as a sum of consecutive naturals, for example, 143280886 + ... + 143280914.

Almost surely, 2^4155146100 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 4155146100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8553349035).

4155146100 is an abundant number, since it is smaller than the sum of its proper divisors (12951551970).

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

4155146100 is a wasteful number, since it uses less digits than its factorization.

4155146100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 4155146100 is about 64460.4227414000. The cubic root of 4155146100 is about 1607.6645407368.

The spelling of 4155146100 in words is "four billion, one hundred fifty-five million, one hundred forty-six thousand, one hundred".