146400153551013 has 64 divisors (see below), whose sum is σ = 208496197324800. Its totient is φ = 91110711859200.

The previous prime is 146400153551011. The next prime is 146400153551023. The reversal of 146400153551013 is 310155351004641.

It is not a de Polignac number, because 146400153551013 - 2¹ = 146400153551011 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146400153551011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2701431645 + ... + 2701485837.

It is an arithmetic number, because the mean of its divisors is an integer number (3257753083200).

Almost surely, 2^{146400153551013} is an apocalyptic number.

It is an amenable number.

146400153551013 is a deficient number, since it is larger than the sum of its proper divisors (62096043773787).

146400153551013 is a wasteful number, since it uses less digits than its factorization.

146400153551013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56122.

The product of its (nonzero) digits is 108000, while the sum is 39.

The spelling of 146400153551013 in words is "one hundred forty-six trillion, four hundred billion, one hundred fifty-three million, five hundred fifty-one thousand, thirteen".