145383040 has 128 divisors (see below), whose sum is σ = 384678720. Its totient is φ = 52101120.

The previous prime is 145383011. The next prime is 145383053. The reversal of 145383040 is 40383541.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×145383040² = 42272456639283200, which contains 22 as substring.

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, 753184 + ... + 753376.

Almost surely, 2^145383040 is an apocalyptic number.

145383040 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 145383040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192339360).

145383040 is an abundant number, since it is smaller than the sum of its proper divisors (239295680).

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

145383040 is a wasteful number, since it uses less digits than its factorization.

145383040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 145383040 is about 12057.4889591490. The cubic root of 145383040 is about 525.8209860838.

It can be divided in two parts, 14538 and 3040, that added together give a triangular number (17578 = T₁₈₇).

The spelling of 145383040 in words is "one hundred forty-five million, three hundred eighty-three thousand, forty".