145099342440 has 512 divisors, whose sum is σ = 529296768000. Its totient is φ = 35144036352.

The previous prime is 145099342393. The next prime is 145099342441. The reversal of 145099342440 is 44243990541.

145099342440 is a `hidden beast` number, since 14 + 509 + 93 + 4 + 2 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (145099342441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 389006094 + ... + 389006466.

It is an arithmetic number, because the mean of its divisors is an integer number (1033782750).

Almost surely, 2^145099342440 is an apocalyptic number.

145099342440 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 145099342440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264648384000).

145099342440 is an abundant number, since it is smaller than the sum of its proper divisors (384197425560).

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

145099342440 is a wasteful number, since it uses less digits than its factorization.

145099342440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 145099342440 in words is "one hundred forty-five billion, ninety-nine million, three hundred forty-two thousand, four hundred forty".