145109415792 has 320 divisors, whose sum is σ = 424487116800. Its totient is φ = 42343741440.

The previous prime is 145109415769. The next prime is 145109415799. The reversal of 145109415792 is 297514901541.

145109415792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145109415799) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 382874259 + ... + 382874637.

It is an arithmetic number, because the mean of its divisors is an integer number (1326522240).

Almost surely, 2^145109415792 is an apocalyptic number.

145109415792 is a gapful number since it is divisible by the number (12) 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 145109415792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212243558400).

145109415792 is an abundant number, since it is smaller than the sum of its proper divisors (279377701008).

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

145109415792 is a wasteful number, since it uses less digits than its factorization.

145109415792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 48.

The spelling of 145109415792 in words is "one hundred forty-five billion, one hundred nine million, four hundred fifteen thousand, seven hundred ninety-two".