145333032 has 64 divisors (see below), whose sum is σ = 393120000. Its totient is φ = 44507904.

The previous prime is 145333031. The next prime is 145333037. The reversal of 145333032 is 230333541.

It is a happy number.

It is a super-2 number, since 2×145333032² = 42243380380626048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 145332993 and 145333011.

It is not an unprimeable number, because it can be changed into a prime (145333031) 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, 73594 + ... + 75542.

It is an arithmetic number, because the mean of its divisors is an integer number (6142500).

Almost surely, 2^145333032 is an apocalyptic number.

145333032 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 145333032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196560000).

145333032 is an abundant number, since it is smaller than the sum of its proper divisors (247786968).

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

145333032 is a wasteful number, since it uses less digits than its factorization.

145333032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2210 (or 2206 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 24.

The square root of 145333032 is about 12055.4150488484. The cubic root of 145333032 is about 525.7606895701.

Adding to 145333032 its reverse (230333541), we get a palindrome (375666573).

The spelling of 145333032 in words is "one hundred forty-five million, three hundred thirty-three thousand, thirty-two".