35180145000 has 1440 divisors, whose sum is σ = 163338215040. Its totient is φ = 6652800000.

The previous prime is 35180144999. The next prime is 35180145023. The reversal of 35180145000 is 54108153.

35180145000 is a `hidden beast` number, since 3 + 518 + 0 + 145 + 0 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 495494965 + ... + 495495035.

It is an arithmetic number, because the mean of its divisors is an integer number (113429316).

Almost surely, 2^35180145000 is an apocalyptic number.

35180145000 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 35180145000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81669107520).

35180145000 is an abundant number, since it is smaller than the sum of its proper divisors (128158070040).

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

35180145000 is a wasteful number, since it uses less digits than its factorization.

35180145000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 112 counting only the distinct ones).

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

The spelling of 35180145000 in words is "thirty-five billion, one hundred eighty million, one hundred forty-five thousand".