145630161700 has 144 divisors (see below), whose sum is σ = 346521977424. Its totient is φ = 52907212800.

The previous prime is 145630161679. The next prime is 145630161727. The reversal of 145630161700 is 7161036541.

145630161700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 24 ways, for example, as 63678503716 + 81951657984 = 252346^2 + 286272^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5482852 + ... + 5509348.

It is an arithmetic number, because the mean of its divisors is an integer number (2406402621).

Almost surely, 2^145630161700 is an apocalyptic number.

145630161700 is a gapful number since it is divisible by the number (10) 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 145630161700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173260988712).

145630161700 is an abundant number, since it is smaller than the sum of its proper divisors (200891815724).

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

145630161700 is a wasteful number, since it uses less digits than its factorization.

145630161700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26642 (or 26635 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The spelling of 145630161700 in words is "one hundred forty-five billion, six hundred thirty million, one hundred sixty-one thousand, seven hundred".