145878543360 has 528 divisors, whose sum is σ = 558549987840. Its totient is φ = 34907258880.

The previous prime is 145878543331. The next prime is 145878543361. The reversal of 145878543360 is 63345878541.

145878543360 is a `hidden beast` number, since 1 + 4 + 587 + 8 + 54 + 3 + 3 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a junction number, because it is equal to n+sod(n) for n = 145878543297 and 145878543306.

It is not an unprimeable number, because it can be changed into a prime (145878543361) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40041699 + ... + 40045341.

Almost surely, 2^145878543360 is an apocalyptic number.

145878543360 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 145878543360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279274993920).

145878543360 is an abundant number, since it is smaller than the sum of its proper divisors (412671444480).

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

145878543360 is a wasteful number, since it uses less digits than its factorization.

145878543360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3764 (or 3743 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 145878543360 in words is "one hundred forty-five billion, eight hundred seventy-eight million, five hundred forty-three thousand, three hundred sixty".