145235212434040 has 128 divisors (see below), whose sum is σ = 345066612710400. Its totient is φ = 54862392752640.

The previous prime is 145235212434031. The next prime is 145235212434101. The reversal of 145235212434040 is 40434212532541.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 145235212433984 and 145235212434002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1943766762 + ... + 1943841478.

It is an arithmetic number, because the mean of its divisors is an integer number (2695832911800).

Almost surely, 2^{145235212434040} is an apocalyptic number.

145235212434040 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 145235212434040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172533306355200).

145235212434040 is an abundant number, since it is smaller than the sum of its proper divisors (199831400276360).

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

145235212434040 is a wasteful number, since it uses less digits than its factorization.

145235212434040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82805 (or 82801 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 40.

Adding to 145235212434040 its reverse (40434212532541), we get a palindrome (185669424966581).

The spelling of 145235212434040 in words is "one hundred forty-five trillion, two hundred thirty-five billion, two hundred twelve million, four hundred thirty-four thousand, forty".