145256820 has 96 divisors (see below), whose sum is σ = 425174400. Its totient is φ = 37016064.

The previous prime is 145256777. The next prime is 145256827. The reversal of 145256820 is 28652541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145256827) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130426 + ... + 131534.

It is an arithmetic number, because the mean of its divisors is an integer number (4428900).

Almost surely, 2^145256820 is an apocalyptic number.

145256820 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 145256820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212587200).

145256820 is an abundant number, since it is smaller than the sum of its proper divisors (279917580).

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

145256820 is a wasteful number, since it uses less digits than its factorization.

145256820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1217 (or 1215 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 145256820 is about 12052.2537311492. The cubic root of 145256820 is about 525.6687713066.

The spelling of 145256820 in words is "one hundred forty-five million, two hundred fifty-six thousand, eight hundred twenty".