145415104032 has 192 divisors, whose sum is σ = 439319462400. Its totient is φ = 41651988480.

The previous prime is 145415104031. The next prime is 145415104049. The reversal of 145415104032 is 230401514541.

It is a super-2 number, since 2×145415104032² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (145415104031) 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 31 ways as a sum of consecutive naturals, for example, 9161319 + ... + 9177177.

It is an arithmetic number, because the mean of its divisors is an integer number (2288122200).

Almost surely, 2^145415104032 is an apocalyptic number.

145415104032 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 145415104032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219659731200).

145415104032 is an abundant number, since it is smaller than the sum of its proper divisors (293904358368).

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

145415104032 is a wasteful number, since it uses less digits than its factorization.

145415104032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16359 (or 16351 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 145415104032 its reverse (230401514541), we get a palindrome (375816618573).

The spelling of 145415104032 in words is "one hundred forty-five billion, four hundred fifteen million, one hundred four thousand, thirty-two".