145978519680 has 1024 divisors, whose sum is σ = 622677196800. Its totient is φ = 31600115712.

The previous prime is 145978519679. The next prime is 145978519693. The reversal of 145978519680 is 86915879541.

145978519680 is a `hidden beast` number, since 1 + 4 + 59 + 7 + 8 + 519 + 68 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 381144769 + ... + 381145151.

It is an arithmetic number, because the mean of its divisors is an integer number (608083200).

Almost surely, 2^145978519680 is an apocalyptic number.

145978519680 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 145978519680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311338598400).

145978519680 is an abundant number, since it is smaller than the sum of its proper divisors (476698677120).

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

145978519680 is a wasteful number, since it uses less digits than its factorization.

145978519680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 63.

The spelling of 145978519680 in words is "one hundred forty-five billion, nine hundred seventy-eight million, five hundred nineteen thousand, six hundred eighty".