145689932160 has 192 divisors, whose sum is σ = 503420514480. Its totient is φ = 38824783872.

The previous prime is 145689932149. The next prime is 145689932231. The reversal of 145689932160 is 61239986541.

145689932160 is a `hidden beast` number, since 1 + 456 + 89 + 93 + 21 + 6 + 0 = 666.

145689932160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 145689932097 and 145689932106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9594334 + ... + 9609506.

Almost surely, 2^145689932160 is an apocalyptic number.

145689932160 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 145689932160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251710257240).

145689932160 is an abundant number, since it is smaller than the sum of its proper divisors (357730582320).

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

145689932160 is a wasteful number, since it uses less digits than its factorization.

145689932160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16865 (or 16850 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 145689932160 in words is "one hundred forty-five billion, six hundred eighty-nine million, nine hundred thirty-two thousand, one hundred sixty".