146041034515100 has 72 divisors (see below), whose sum is σ = 329501091205440. Its totient is φ = 56115749643520.

The previous prime is 146041034515093. The next prime is 146041034515253. The reversal of 146041034515100 is 1515430140641.

146041034515100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127243364 + ... + 128385963.

It is an arithmetic number, because the mean of its divisors is an integer number (4576404044520).

Almost surely, 2^{146041034515100} is an apocalyptic number.

146041034515100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146041034515100 is an abundant number, since it is smaller than the sum of its proper divisors (183460056690340).

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

146041034515100 is a wasteful number, since it uses less digits than its factorization.

146041034515100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255629567 (or 255629560 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

Adding to 146041034515100 its reverse (1515430140641), we get a palindrome (147556464655741).

The spelling of 146041034515100 in words is "one hundred forty-six trillion, forty-one billion, thirty-four million, five hundred fifteen thousand, one hundred".