145360564146 has 96 divisors (see below), whose sum is σ = 373388940288. Its totient is φ = 41518532880.

The previous prime is 145360564099. The next prime is 145360564169. The reversal of 145360564146 is 641465063541.

145360564146 is a `hidden beast` number, since 1 + 45 + 3 + 6 + 0 + 564 + 1 + 46 = 666.

It is a super-2 number, since 2×145360564146² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17587611 + ... + 17595873.

It is an arithmetic number, because the mean of its divisors is an integer number (3889468128).

Almost surely, 2^145360564146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145360564146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186694470144).

145360564146 is an abundant number, since it is smaller than the sum of its proper divisors (228028376142).

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

145360564146 is an equidigital number, since it uses as much as digits as its factorization.

145360564146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13458 (or 13446 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 145360564146 in words is "one hundred forty-five billion, three hundred sixty million, five hundred sixty-four thousand, one hundred forty-six".