145605146240 has 32 divisors (see below), whose sum is σ = 348087304260. Its totient is φ = 58242058240.

The previous prime is 145605146237. The next prime is 145605146249. The reversal of 145605146240 is 42641506541.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 132280599616 + 13324546624 = 363704^2 + 115432^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×145605146240² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 145605146194 and 145605146203.

It is not an unprimeable number, because it can be changed into a prime (145605146249) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 113753381 + ... + 113754660.

Almost surely, 2^145605146240 is an apocalyptic number.

145605146240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145605146240 is an abundant number, since it is smaller than the sum of its proper divisors (202482158020).

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

145605146240 is an equidigital number, since it uses as much as digits as its factorization.

145605146240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227508060 (or 227508048 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 38.

The spelling of 145605146240 in words is "one hundred forty-five billion, six hundred five million, one hundred forty-six thousand, two hundred forty".