145986010080 has 192 divisors, whose sum is σ = 480030401088. Its totient is φ = 37256232960.

The previous prime is 145986010057. The next prime is 145986010081. The reversal of 145986010080 is 80010689541.

145986010080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×145986010080³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145986010081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1015984 + ... + 1150736.

It is an arithmetic number, because the mean of its divisors is an integer number (2500158339).

Almost surely, 2^145986010080 is an apocalyptic number.

145986010080 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 145986010080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240015200544).

145986010080 is an abundant number, since it is smaller than the sum of its proper divisors (334044391008).

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

145986010080 is a wasteful number, since it uses less digits than its factorization.

145986010080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134869 (or 134861 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 42.

The spelling of 145986010080 in words is "one hundred forty-five billion, nine hundred eighty-six million, ten thousand, eighty".