145404100160 has 112 divisors (see below), whose sum is σ = 379679069952. Its totient is φ = 52600012800.

The previous prime is 145404100159. The next prime is 145404100169. The reversal of 145404100160 is 61001404541.

It is a super-2 number, since 2×145404100160² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (145404100169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 572345 + ... + 786375.

It is an arithmetic number, because the mean of its divisors is an integer number (3389991696).

Almost surely, 2^145404100160 is an apocalyptic number.

145404100160 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 145404100160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189839534976).

145404100160 is an abundant number, since it is smaller than the sum of its proper divisors (234274969792).

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

145404100160 is a wasteful number, since it uses less digits than its factorization.

145404100160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214252 (or 214242 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The spelling of 145404100160 in words is "one hundred forty-five billion, four hundred four million, one hundred thousand, one hundred sixty".