145364598704520 has 384 divisors, whose sum is σ = 527700396918240. Its totient is φ = 34470265651200.

The previous prime is 145364598704497. The next prime is 145364598704551. The reversal of 145364598704520 is 25407895463541.

It is a happy number.

145364598704520 is a `hidden beast` number, since 1 + 4 + 5 + 3 + 64 + 59 + 8 + 70 + 452 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 41354339778756 + 104010258925764 = 6430734^2 + 10198542^2 .

It is a super-2 number, since 2×145364598704520² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13333312 + ... + 21645008.

It is a 1-persistent number, because it is pandigital, but 2⋅145364598704520 = 290729197409040 is not.

Almost surely, 2^{145364598704520} is an apocalyptic number.

145364598704520 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 145364598704520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263850198459120).

145364598704520 is an abundant number, since it is smaller than the sum of its proper divisors (382335798213720).

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

145364598704520 is a wasteful number, since it uses less digits than its factorization.

145364598704520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8311865 (or 8311858 counting only the distinct ones).

The product of its (nonzero) digits is 145152000, while the sum is 63.

The spelling of 145364598704520 in words is "one hundred forty-five trillion, three hundred sixty-four billion, five hundred ninety-eight million, seven hundred four thousand, five hundred twenty".