145984256 has 72 divisors (see below), whose sum is σ = 324946944. Its totient is φ = 64885760.

The previous prime is 145984229. The next prime is 145984259. The reversal of 145984256 is 652489541.

It is a super-3 number, since 3×145984256³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (145984259) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 131801 + ... + 132903.

It is an arithmetic number, because the mean of its divisors is an integer number (4513152).

Almost surely, 2^145984256 is an apocalyptic number.

145984256 is a gapful number since it is divisible by the number (16) 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 145984256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162473472).

145984256 is an abundant number, since it is smaller than the sum of its proper divisors (178962688).

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

145984256 is a wasteful number, since it uses less digits than its factorization.

145984256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1177 (or 1163 counting only the distinct ones).

The product of its digits is 345600, while the sum is 44.

The square root of 145984256 is about 12082.3944646746. The cubic root of 145984256 is about 526.5448146948.

The spelling of 145984256 in words is "one hundred forty-five million, nine hundred eighty-four thousand, two hundred fifty-six".