145314432 has 128 divisors (see below), whose sum is σ = 451656000. Its totient is φ = 45868032.

The previous prime is 145314431. The next prime is 145314443. The reversal of 145314432 is 234413541.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×145314432² = 42232568294965248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 145314396 and 145314405.

It is not an unprimeable number, because it can be changed into a prime (145314431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64558 + ... + 66770.

Almost surely, 2^145314432 is an apocalyptic number.

145314432 is a gapful number since it is divisible by the number (12) 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 145314432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225828000).

145314432 is an abundant number, since it is smaller than the sum of its proper divisors (306341568).

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

145314432 is a wasteful number, since it uses less digits than its factorization.

145314432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2255 (or 2237 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 145314432 is about 12054.6435866018. The cubic root of 145314432 is about 525.7382593262.

Adding to 145314432 its reverse (234413541), we get a palindrome (379727973).

The spelling of 145314432 in words is "one hundred forty-five million, three hundred fourteen thousand, four hundred thirty-two".