145873980 has 288 divisors, whose sum is σ = 545832000. Its totient is φ = 32223744.

The previous prime is 145873979. The next prime is 145874009. The reversal of 145873980 is 89378541.

145873980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 978946 + ... + 979094.

It is an arithmetic number, because the mean of its divisors is an integer number (1895250).

Almost surely, 2^145873980 is an apocalyptic number.

145873980 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 145873980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272916000).

145873980 is an abundant number, since it is smaller than the sum of its proper divisors (399958020).

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

145873980 is a wasteful number, since it uses less digits than its factorization.

145873980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 145873980 is about 12077.8301031270. The cubic root of 145873980 is about 526.4121979217.

The spelling of 145873980 in words is "one hundred forty-five million, eight hundred seventy-three thousand, nine hundred eighty".