145545040 has 40 divisors (see below), whose sum is σ = 341761608. Its totient is φ = 57638400.

The previous prime is 145544983. The next prime is 145545053. The reversal of 145545040 is 40545541.

It can be written as a sum of positive squares in 4 ways, for example, as 85451536 + 60093504 = 9244^2 + 7752^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 927 + ... + 17086.

Almost surely, 2^145545040 is an apocalyptic number.

145545040 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 145545040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170880804).

145545040 is an abundant number, since it is smaller than the sum of its proper divisors (196216568).

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

145545040 is a wasteful number, since it uses less digits than its factorization.

145545040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18127 (or 18121 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 28.

The square root of 145545040 is about 12064.2049054217. The cubic root of 145545040 is about 526.0162206393.

The spelling of 145545040 in words is "one hundred forty-five million, five hundred forty-five thousand, forty".