151346400426464 has 96 divisors (see below), whose sum is σ = 315417235684320. Its totient is φ = 71362111629312.

The previous prime is 151346400426457. The next prime is 151346400426469. The reversal of 151346400426464 is 464624004643151.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151346400426469) by changing a digit.

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, 1639090442 + ... + 1639182774.

It is an arithmetic number, because the mean of its divisors is an integer number (3285596205045).

Almost surely, 2^{151346400426464} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151346400426464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157708617842160).

151346400426464 is an abundant number, since it is smaller than the sum of its proper divisors (164070835257856).

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

151346400426464 is a wasteful number, since it uses less digits than its factorization.

151346400426464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133492 (or 133484 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 50.

The spelling of 151346400426464 in words is "one hundred fifty-one trillion, three hundred forty-six billion, four hundred million, four hundred twenty-six thousand, four hundred sixty-four".