145200635632 has 80 divisors (see below), whose sum is σ = 314379878400. Its totient is φ = 64513785600.

The previous prime is 145200635621. The next prime is 145200635639. The reversal of 145200635632 is 236536002541.

It is a junction number, because it is equal to n+sod(n) for n = 145200635591 and 145200635600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145200635639) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1172619 + ... + 1290517.

It is an arithmetic number, because the mean of its divisors is an integer number (3929748480).

Almost surely, 2^145200635632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145200635632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157189939200).

145200635632 is an abundant number, since it is smaller than the sum of its proper divisors (169179242768).

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

145200635632 is a wasteful number, since it uses less digits than its factorization.

145200635632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118142 (or 118136 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 37.

The spelling of 145200635632 in words is "one hundred forty-five billion, two hundred million, six hundred thirty-five thousand, six hundred thirty-two".