145706680000 has 140 divisors (see below), whose sum is σ = 412921035472. Its totient is φ = 49956480000.

The previous prime is 145706679991. The next prime is 145706680001. The reversal of 145706680000 is 86607541.

It is a tau number, because it is divible by the number of its divisors (140).

It is a super-3 number, since 3×145706680000³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (145706680001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 19810 + ... + 540190.

Almost surely, 2^145706680000 is an apocalyptic number.

145706680000 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 145706680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206460517736).

145706680000 is an abundant number, since it is smaller than the sum of its proper divisors (267214355472).

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

145706680000 is an frugal number, since it uses more digits than its factorization.

145706680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520420 (or 520395 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The spelling of 145706680000 in words is "one hundred forty-five billion, seven hundred six million, six hundred eighty thousand".