154456142604000 has 96 divisors (see below), whose sum is σ = 505998323210016. Its totient is φ = 41188304691200.

The previous prime is 154456142603969. The next prime is 154456142604031. The reversal of 154456142604000 is 406241654451.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (154456142603969) and next prime (154456142604031).

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 6435660609 + ... + 6435684608.

It is an arithmetic number, because the mean of its divisors is an integer number (5270815866771).

Almost surely, 2^{154456142604000} is an apocalyptic number.

154456142604000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

154456142604000 is an abundant number, since it is smaller than the sum of its proper divisors (351542180606016).

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

154456142604000 is a wasteful number, since it uses less digits than its factorization.

154456142604000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12871345245 (or 12871345227 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 42.

The spelling of 154456142604000 in words is "one hundred fifty-four trillion, four hundred fifty-six billion, one hundred forty-two million, six hundred four thousand".