145255680 has 216 divisors, whose sum is σ = 522299232. Its totient is φ = 38651904.

The previous prime is 145255637. The next prime is 145255681. The reversal of 145255680 is 86552541.

145255680 is a `hidden beast` number, since 1 + 4 + 525 + 56 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145255681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 310807 + ... + 311273.

It is an arithmetic number, because the mean of its divisors is an integer number (2418052).

Almost surely, 2^145255680 is an apocalyptic number.

145255680 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 145255680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261149616).

145255680 is an abundant number, since it is smaller than the sum of its proper divisors (377043552).

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

145255680 is an frugal number, since it uses more digits than its factorization.

145255680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 145255680 is about 12052.2064369973. The cubic root of 145255680 is about 525.6673961240.

The spelling of 145255680 in words is "one hundred forty-five million, two hundred fifty-five thousand, six hundred eighty".