145437630000 has 200 divisors, whose sum is σ = 505608191088. Its totient is φ = 35799936000.

The previous prime is 145437629993. The next prime is 145437630011. The reversal of 145437630000 is 36734541.

145437630000 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 (200).

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, 203542 + ... + 576458.

Almost surely, 2^145437630000 is an apocalyptic number.

145437630000 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 145437630000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252804095544).

145437630000 is an abundant number, since it is smaller than the sum of its proper divisors (360170561088).

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

145437630000 is a wasteful number, since it uses less digits than its factorization.

145437630000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372961 (or 372940 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The spelling of 145437630000 in words is "one hundred forty-five billion, four hundred thirty-seven million, six hundred thirty thousand".