145086800 has 30 divisors (see below), whose sum is σ = 348571998. Its totient is φ = 58034560.

The previous prime is 145086769. The next prime is 145086863. The reversal of 145086800 is 8680541.

It can be written as a sum of positive squares in 3 ways, for example, as 23116864 + 121969936 = 4808^2 + 11044^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 180959 + ... + 181758.

Almost surely, 2^145086800 is an apocalyptic number.

145086800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145086800 is an abundant number, since it is smaller than the sum of its proper divisors (203485198).

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

145086800 is a wasteful number, since it uses less digits than its factorization.

145086800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362735 (or 362724 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 145086800 is about 12045.1982133961. The cubic root of 145086800 is about 525.4635965516.

The spelling of 145086800 in words is "one hundred forty-five million, eighty-six thousand, eight hundred".