145034435136 has 112 divisors (see below), whose sum is σ = 387754758144. Its totient is φ = 47839351296.

The previous prime is 145034435129. The next prime is 145034435153. The reversal of 145034435136 is 631534430541.

145034435136 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 145034435094 and 145034435103.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43643971 + ... + 43647293.

Almost surely, 2^145034435136 is an apocalyptic number.

145034435136 is a gapful number since it is divisible by the number (16) 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 145034435136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193877379072).

145034435136 is an abundant number, since it is smaller than the sum of its proper divisors (242720323008).

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

145034435136 is a wasteful number, since it uses less digits than its factorization.

145034435136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5648 (or 5638 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 39.

Adding to 145034435136 its reverse (631534430541), we get a palindrome (776568865677).

The spelling of 145034435136 in words is "one hundred forty-five billion, thirty-four million, four hundred thirty-five thousand, one hundred thirty-six".