145281800 has 48 divisors (see below), whose sum is σ = 352477440. Its totient is φ = 55584320.

The previous prime is 145281797. The next prime is 145281803. The reversal of 145281800 is 8182541.

It is an interprime number because it is at equal distance from previous prime (145281797) and next prime (145281803).

It is a super-2 number, since 2×145281800² = 42213602822480000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (145281803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11192 + ... + 20391.

It is an arithmetic number, because the mean of its divisors is an integer number (7343280).

Almost surely, 2^145281800 is an apocalyptic number.

145281800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145281800 is an abundant number, since it is smaller than the sum of its proper divisors (207195640).

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

145281800 is a wasteful number, since it uses less digits than its factorization.

145281800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31622 (or 31613 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 29.

The square root of 145281800 is about 12053.2900072968. The cubic root of 145281800 is about 525.6989028884.

The spelling of 145281800 in words is "one hundred forty-five million, two hundred eighty-one thousand, eight hundred".