145332000 has 288 divisors, whose sum is σ = 564205824. Its totient is φ = 35136000.

The previous prime is 145331993. The next prime is 145332013. The reversal of 145332000 is 233541.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×145332000² = 42242780448000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 395817 + ... + 396183.

It is an arithmetic number, because the mean of its divisors is an integer number (1959048).

Almost surely, 2^145332000 is an apocalyptic number.

145332000 is a gapful number since it is divisible by the number (10) 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 145332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282102912).

145332000 is an abundant number, since it is smaller than the sum of its proper divisors (418873824).

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

145332000 is a wasteful number, since it uses less digits than its factorization.

145332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 145332000 is about 12055.3722464302. The cubic root of 145332000 is about 525.7594451035.

Adding to 145332000 its reverse (233541), we get a palindrome (145565541).

The spelling of 145332000 in words is "one hundred forty-five million, three hundred thirty-two thousand".