145429200 has 360 divisors, whose sum is σ = 599664000. Its totient is φ = 31933440.

The previous prime is 145429189. The next prime is 145429223. The reversal of 145429200 is 2924541.

145429200 is a `hidden beast` number, since 1 + 454 + 2 + 9 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×145429200² = 42299304425280000, which contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 730701 + ... + 730899.

Almost surely, 2^145429200 is an apocalyptic number.

145429200 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 145429200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299832000).

145429200 is an abundant number, since it is smaller than the sum of its proper divisors (454234800).

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

145429200 is a wasteful number, since it uses less digits than its factorization.

145429200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 145429200 is about 12059.4029702967. The cubic root of 145429200 is about 525.8766306495.

The spelling of 145429200 in words is "one hundred forty-five million, four hundred twenty-nine thousand, two hundred".