145342080 has 256 divisors, whose sum is σ = 555206400. Its totient is φ = 35721216.

The previous prime is 145342033. The next prime is 145342081. The reversal of 145342080 is 80243541.

145342080 is a `hidden beast` number, since 1 + 453 + 4 + 208 + 0 = 666.

It is a super-2 number, since 2×145342080² = 42248640437452800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (145342081) 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, 224317 + ... + 224963.

It is an arithmetic number, because the mean of its divisors is an integer number (2168775).

Almost surely, 2^145342080 is an apocalyptic number.

145342080 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 145342080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277603200).

145342080 is an abundant number, since it is smaller than the sum of its proper divisors (409864320).

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

145342080 is a wasteful number, since it uses less digits than its factorization.

145342080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 145342080 is about 12055.7903100543. The cubic root of 145342080 is about 525.7716001065.

It can be divided in two parts, 145 and 342080, that added together give a square (342225 = 585²).

The spelling of 145342080 in words is "one hundred forty-five million, three hundred forty-two thousand, eighty".