145466880000 has 1040 divisors, whose sum is σ = 550259060736. Its totient is φ = 33914880000.

The previous prime is 145466879993. The next prime is 145466880007. The reversal of 145466880000 is 88664541.

It is an interprime number because it is at equal distance from previous prime (145466879993) and next prime (145466880007).

It is a tau number, because it is divible by the number of its divisors (1040).

It is a super-2 number, since 2×145466880000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145466880007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3095039977 + ... + 3095040023.

Almost surely, 2^145466880000 is an apocalyptic number.

145466880000 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 145466880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275129530368).

145466880000 is an abundant number, since it is smaller than the sum of its proper divisors (404792180736).

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

145466880000 is an equidigital number, since it uses as much as digits as its factorization.

145466880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The spelling of 145466880000 in words is "one hundred forty-five billion, four hundred sixty-six million, eight hundred eighty thousand".