145887020 has 48 divisors (see below), whose sum is σ = 317520000. Its totient is φ = 56263680.

The previous prime is 145887019. The next prime is 145887031. The reversal of 145887020 is 20788541.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71981 + ... + 73979.

It is an arithmetic number, because the mean of its divisors is an integer number (6615000).

Almost surely, 2^145887020 is an apocalyptic number.

145887020 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 145887020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158760000).

145887020 is an abundant number, since it is smaller than the sum of its proper divisors (171632980).

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

145887020 is a wasteful number, since it uses less digits than its factorization.

145887020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2138 (or 2136 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 35.

The square root of 145887020 is about 12078.3699231312. The cubic root of 145887020 is about 526.4278831739.

The spelling of 145887020 in words is "one hundred forty-five million, eight hundred eighty-seven thousand, twenty".