145581840 has 80 divisors (see below), whose sum is σ = 501456000. Its totient is φ = 38821248.

The previous prime is 145581823. The next prime is 145581841. The reversal of 145581840 is 48185541.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 145581795 and 145581804.

It is not an unprimeable number, because it can be changed into a prime (145581841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31540 + ... + 35859.

It is an arithmetic number, because the mean of its divisors is an integer number (6268200).

Almost surely, 2^145581840 is an apocalyptic number.

145581840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145581840 is an abundant number, since it is smaller than the sum of its proper divisors (355874160).

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

145581840 is a wasteful number, since it uses less digits than its factorization.

145581840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67421 (or 67409 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The square root of 145581840 is about 12065.7299820608. The cubic root of 145581840 is about 526.0605500228.

The spelling of 145581840 in words is "one hundred forty-five million, five hundred eighty-one thousand, eight hundred forty".