145133080 has 64 divisors (see below), whose sum is σ = 352369440. Its totient is φ = 53594112.

The previous prime is 145133011. The next prime is 145133117. The reversal of 145133080 is 80331541.

It is a super-2 number, since 2×145133080² = 42127221820572800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34027 + ... + 38053.

Almost surely, 2^145133080 is an apocalyptic number.

145133080 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 145133080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176184720).

145133080 is an abundant number, since it is smaller than the sum of its proper divisors (207236360).

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

145133080 is a wasteful number, since it uses less digits than its factorization.

145133080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4108 (or 4104 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 145133080 is about 12047.1191577074. The cubic root of 145133080 is about 525.5194616613.

It can be divided in two parts, 145 and 133080, that added together give a square (133225 = 365²).

The spelling of 145133080 in words is "one hundred forty-five million, one hundred thirty-three thousand, eighty".