145781460 has 288 divisors, whose sum is σ = 526466304. Its totient is φ = 32256000.

The previous prime is 145781453. The next prime is 145781483. The reversal of 145781460 is 64187541.

It is a happy number.

145781460 is a `hidden beast` number, since 14 + 578 + 14 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2053225 + ... + 2053295.

It is an arithmetic number, because the mean of its divisors is an integer number (1828008).

Almost surely, 2^145781460 is an apocalyptic number.

145781460 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 145781460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263233152).

145781460 is an abundant number, since it is smaller than the sum of its proper divisors (380684844).

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

145781460 is a wasteful number, since it uses less digits than its factorization.

145781460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 145781460 is about 12073.9993374192. Note that the first 3 decimals coincide. The cubic root of 145781460 is about 526.3008827603.

The spelling of 145781460 in words is "one hundred forty-five million, seven hundred eighty-one thousand, four hundred sixty".