145032600 has 192 divisors, whose sum is σ = 474969600. Its totient is φ = 36564480.

The previous prime is 145032599. The next prime is 145032611. The reversal of 145032600 is 6230541.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1043331 + ... + 1043469.

It is an arithmetic number, because the mean of its divisors is an integer number (2473800).

Almost surely, 2^145032600 is an apocalyptic number.

145032600 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 145032600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237484800).

145032600 is an abundant number, since it is smaller than the sum of its proper divisors (329937000).

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

145032600 is a wasteful number, since it uses less digits than its factorization.

145032600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 145032600 is about 12042.9481440385. The cubic root of 145032600 is about 525.3981560151.

The spelling of 145032600 in words is "one hundred forty-five million, thirty-two thousand, six hundred".