145126041011424 has 288 divisors, whose sum is σ = 471927183856128. Its totient is φ = 41907172608000.

The previous prime is 145126041011387. The next prime is 145126041011431. The reversal of 145126041011424 is 424110140621541.

145126041011424 is a `hidden beast` number, since 1 + 4 + 5 + 1 + 2 + 604 + 1 + 0 + 1 + 1 + 42 + 4 = 666.

145126041011424 is digitally balanced in base 2, 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 (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7406872 + ... + 18577239.

It is an arithmetic number, because the mean of its divisors is an integer number (1638636055056).

Almost surely, 2^{145126041011424} is an apocalyptic number.

It is an amenable number.

145126041011424 is an abundant number, since it is smaller than the sum of its proper divisors (326801142844704).

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

145126041011424 is a wasteful number, since it uses less digits than its factorization.

145126041011424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25984222 (or 25984211 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

Adding to 145126041011424 its reverse (424110140621541), we get a palindrome (569236181632965).

The spelling of 145126041011424 in words is "one hundred forty-five trillion, one hundred twenty-six billion, forty-one million, eleven thousand, four hundred twenty-four".