145449864 has 256 divisors, whose sum is σ = 499968000. Its totient is φ = 38257920.

The previous prime is 145449859. The next prime is 145449869. The reversal of 145449864 is 468944541.

145449864 is a `hidden beast` number, since 14 + 544 + 98 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (145449859) and next prime (145449869).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145449869) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1752367 + ... + 1752449.

It is an arithmetic number, because the mean of its divisors is an integer number (1953000).

Almost surely, 2^145449864 is an apocalyptic number.

145449864 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 145449864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249984000).

145449864 is an abundant number, since it is smaller than the sum of its proper divisors (354518136).

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

145449864 is a wasteful number, since it uses less digits than its factorization.

145449864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 175 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 145449864 is about 12060.2596986964. The cubic root of 145449864 is about 525.9015366978.

The spelling of 145449864 in words is "one hundred forty-five million, four hundred forty-nine thousand, eight hundred sixty-four".