145185264 has 160 divisors (see below), whose sum is σ = 488302080. Its totient is φ = 40435200.

The previous prime is 145185259. The next prime is 145185283. The reversal of 145185264 is 462581541.

It is a happy number.

145185264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123399 + ... + 124569.

It is an arithmetic number, because the mean of its divisors is an integer number (3051888).

Almost surely, 2^145185264 is an apocalyptic number.

145185264 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 145185264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244151040).

145185264 is an abundant number, since it is smaller than the sum of its proper divisors (343116816).

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

145185264 is a wasteful number, since it uses less digits than its factorization.

145185264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1236 (or 1224 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 145185264 is about 12049.2847920530. The cubic root of 145185264 is about 525.5824393124.

The spelling of 145185264 in words is "one hundred forty-five million, one hundred eighty-five thousand, two hundred sixty-four".