145766040000 has 280 divisors, whose sum is σ = 550787791488. Its totient is φ = 33317760000.

The previous prime is 145766039977. The next prime is 145766040041. The reversal of 145766040000 is 40667541.

145766040000 is digitally balanced in base 3, 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 (280).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 753235 + ... + 926765.

Almost surely, 2^145766040000 is an apocalyptic number.

145766040000 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 145766040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275393895744).

145766040000 is an abundant number, since it is smaller than the sum of its proper divisors (405021751488).

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

145766040000 is an equidigital number, since it uses as much as digits as its factorization.

145766040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173573 (or 173548 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The spelling of 145766040000 in words is "one hundred forty-five billion, seven hundred sixty-six million, forty thousand".