145989377820 has 1152 divisors, whose sum is σ = 578229829632. Its totient is φ = 29262643200.

The previous prime is 145989377789. The next prime is 145989377827. The reversal of 145989377820 is 28773989541.

145989377820 is a `hidden beast` number, since 1 + 4 + 598 + 9 + 37 + 7 + 8 + 2 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145989377827) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1149522597 + ... + 1149522723.

It is an arithmetic number, because the mean of its divisors is an integer number (501935616).

Almost surely, 2^145989377820 is an apocalyptic number.

145989377820 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 145989377820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289114914816).

145989377820 is an abundant number, since it is smaller than the sum of its proper divisors (432240451812).

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

145989377820 is a wasteful number, since it uses less digits than its factorization.

145989377820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 145989377820 in words is "one hundred forty-five billion, nine hundred eighty-nine million, three hundred seventy-seven thousand, eight hundred twenty".