145153344 has 112 divisors (see below), whose sum is σ = 464807808. Its totient is φ = 39026688.

The previous prime is 145153321. The next prime is 145153363. The reversal of 145153344 is 443351541.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19672 + ... + 26024.

Almost surely, 2^145153344 is an apocalyptic number.

145153344 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 145153344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232403904).

145153344 is an abundant number, since it is smaller than the sum of its proper divisors (319654464).

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

145153344 is a wasteful number, since it uses less digits than its factorization.

145153344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6392 (or 6382 counting only the distinct ones).

The product of its digits is 14400, while the sum is 30.

The square root of 145153344 is about 12047.9601592967. The cubic root of 145153344 is about 525.5439188257.

The spelling of 145153344 in words is "one hundred forty-five million, one hundred fifty-three thousand, three hundred forty-four".