145027800 has 192 divisors, whose sum is σ = 506217600. Its totient is φ = 38160000.

The previous prime is 145027711. The next prime is 145027801. The reversal of 145027800 is 8720541.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145027801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 577675 + ... + 577925.

It is an arithmetic number, because the mean of its divisors is an integer number (2636550).

Almost surely, 2^145027800 is an apocalyptic number.

145027800 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 145027800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253108800).

145027800 is an abundant number, since it is smaller than the sum of its proper divisors (361189800).

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

145027800 is a wasteful number, since it uses less digits than its factorization.

145027800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 145027800 is about 12042.7488556392. The cubic root of 145027800 is about 525.3923597574.

The spelling of 145027800 in words is "one hundred forty-five million, twenty-seven thousand, eight hundred".