145916020 has 24 divisors (see below), whose sum is σ = 307125000. Its totient is φ = 58232832.

The previous prime is 145916009. The next prime is 145916021. The reversal of 145916020 is 20619541.

It can be written as a sum of positive squares in 4 ways, for example, as 24960016 + 120956004 = 4996^2 + 10998^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 145916020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145916021) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 856 + ... + 17104.

It is an arithmetic number, because the mean of its divisors is an integer number (12796875).

Almost surely, 2^145916020 is an apocalyptic number.

145916020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145916020 is an abundant number, since it is smaller than the sum of its proper divisors (161208980).

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

145916020 is a wasteful number, since it uses less digits than its factorization.

145916020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16707 (or 16705 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 145916020 is about 12079.5703565980. The cubic root of 145916020 is about 526.4627626698.

The spelling of 145916020 in words is "one hundred forty-five million, nine hundred sixteen thousand, twenty".