145134080 has 240 divisors, whose sum is σ = 440831160. Its totient is φ = 45416448.

The previous prime is 145134061. The next prime is 145134089. The reversal of 145134080 is 80431541.

It can be written as a sum of positive squares in 4 ways, for example, as 66846976 + 78287104 = 8176^2 + 8848^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (145134089) 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, 1630676 + ... + 1630764.

Almost surely, 2^145134080 is an apocalyptic number.

145134080 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 145134080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220415580).

145134080 is an abundant number, since it is smaller than the sum of its proper divisors (295697080).

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

145134080 is an equidigital number, since it uses as much as digits as its factorization.

145134080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 145134080 is about 12047.1606613343. The cubic root of 145134080 is about 525.5206686415.

The spelling of 145134080 in words is "one hundred forty-five million, one hundred thirty-four thousand, eighty".