145456164 has 72 divisors (see below), whose sum is σ = 429182208. Its totient is φ = 40671360.

The previous prime is 145456159. The next prime is 145456169. The reversal of 145456164 is 461654541.

145456164 is a `hidden beast` number, since 1 + 45 + 456 + 164 = 666.

It is an interprime number because it is at equal distance from previous prime (145456159) and next prime (145456169).

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 (145456169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5704 + ... + 17984.

It is an arithmetic number, because the mean of its divisors is an integer number (5960864).

Almost surely, 2^145456164 is an apocalyptic number.

145456164 is a gapful number since it is divisible by the number (14) 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 145456164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214591104).

145456164 is an abundant number, since it is smaller than the sum of its proper divisors (283726044).

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

145456164 is a wasteful number, since it uses less digits than its factorization.

145456164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12345 (or 12340 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 145456164 is about 12060.5208842736. The cubic root of 145456164 is about 525.9091295360.

The spelling of 145456164 in words is "one hundred forty-five million, four hundred fifty-six thousand, one hundred sixty-four".