145359630304 has 48 divisors (see below), whose sum is σ = 329412182400. Its totient is φ = 61848791424.

The previous prime is 145359630293. The next prime is 145359630373. The reversal of 145359630304 is 403036953541.

It is a super-2 number, since 2×145359630304² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2303134 + ... + 2365405.

It is an arithmetic number, because the mean of its divisors is an integer number (6862753800).

Almost surely, 2^145359630304 is an apocalyptic number.

145359630304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

145359630304 is an abundant number, since it is smaller than the sum of its proper divisors (184052552096).

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

145359630304 is a wasteful number, since it uses less digits than its factorization.

145359630304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4668695 (or 4668687 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 43.

The spelling of 145359630304 in words is "one hundred forty-five billion, three hundred fifty-nine million, six hundred thirty thousand, three hundred four".