145313313422220 has 36 divisors (see below), whose sum is σ = 440783717381280. Its totient is φ = 38750216912544.

The previous prime is 145313313422201. The next prime is 145313313422227. The reversal of 145313313422220 is 22224313313541.

145313313422220 is a `hidden beast` number, since 1 + 4 + 5 + 3 + 1 + 3 + 3 + 1 + 3 + 422 + 220 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×145313313422220² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (145313313422227) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 403648092660 + ... + 403648093019.

It is an arithmetic number, because the mean of its divisors is an integer number (12243992149480).

Almost surely, 2^{145313313422220} is an apocalyptic number.

145313313422220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145313313422220 is an abundant number, since it is smaller than the sum of its proper divisors (295470403959060).

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

145313313422220 is a wasteful number, since it uses less digits than its factorization.

145313313422220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807296185694 (or 807296185689 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 145313313422220 its reverse (22224313313541), we get a palindrome (167537626735761).

The spelling of 145313313422220 in words is "one hundred forty-five trillion, three hundred thirteen billion, three hundred thirteen million, four hundred twenty-two thousand, two hundred twenty".