145036800 has 180 divisors, whose sum is σ = 519458940. Its totient is φ = 38645760.

The previous prime is 145036789. The next prime is 145036841. The reversal of 145036800 is 8630541.

It is a tau number, because it is divible by the number of its divisors (180).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 114571 + ... + 115829.

It is an arithmetic number, because the mean of its divisors is an integer number (2885883).

Almost surely, 2^145036800 is an apocalyptic number.

145036800 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 145036800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259729470).

145036800 is an abundant number, since it is smaller than the sum of its proper divisors (374422140).

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

145036800 is a wasteful number, since it uses less digits than its factorization.

145036800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1293 (or 1269 counting only the distinct ones).

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

The square root of 145036800 is about 12043.1225186826. The cubic root of 145036800 is about 525.4032276356.

The spelling of 145036800 in words is "one hundred forty-five million, thirty-six thousand, eight hundred".