145501334513304 has 256 divisors, whose sum is σ = 456810515066880. Its totient is φ = 37518092075520.

The previous prime is 145501334513299. The next prime is 145501334513333. The reversal of 145501334513304 is 403315433105541.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 265707274 + ... + 266254310.

It is an arithmetic number, because the mean of its divisors is an integer number (1784416074480).

Almost surely, 2^{145501334513304} is an apocalyptic number.

145501334513304 is a gapful number since it is divisible by the number (14) 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 145501334513304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228405257533440).

145501334513304 is an abundant number, since it is smaller than the sum of its proper divisors (311309180553576).

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

145501334513304 is a wasteful number, since it uses less digits than its factorization.

145501334513304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548110 (or 548106 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 42.

Adding to 145501334513304 its reverse (403315433105541), we get a palindrome (548816767618845).

The spelling of 145501334513304 in words is "one hundred forty-five trillion, five hundred one billion, three hundred thirty-four million, five hundred thirteen thousand, three hundred four".