145524576960 has 672 divisors, whose sum is σ = 599571348480. Its totient is φ = 31675539456.

The previous prime is 145524576943. The next prime is 145524576971. The reversal of 145524576960 is 69675425541.

145524576960 is a `hidden beast` number, since 1 + 4 + 5 + 5 + 2 + 4 + 576 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a junction number, because it is equal to n+sod(n) for n = 145524576897 and 145524576906.

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, 131220886 + ... + 131221994.

Almost surely, 2^145524576960 is an apocalyptic number.

145524576960 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 145524576960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299785674240).

145524576960 is an abundant number, since it is smaller than the sum of its proper divisors (454046771520).

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

145524576960 is a wasteful number, since it uses less digits than its factorization.

145524576960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1445 (or 1432 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 145524576960 in words is "one hundred forty-five billion, five hundred twenty-four million, five hundred seventy-six thousand, nine hundred sixty".