151419264384 has 128 divisors (see below), whose sum is σ = 429848726400. Its totient is φ = 47059902464.

The previous prime is 151419264253. The next prime is 151419264389. The reversal of 151419264384 is 483462914151.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151419264389) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 590107 + ... + 806885.

It is an arithmetic number, because the mean of its divisors is an integer number (3358193175).

Almost surely, 2^151419264384 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 151419264384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214924363200).

151419264384 is an abundant number, since it is smaller than the sum of its proper divisors (278429462016).

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

151419264384 is a wasteful number, since it uses less digits than its factorization.

151419264384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216920 (or 216908 counting only the distinct ones).

The product of its digits is 829440, while the sum is 48.

The spelling of 151419264384 in words is "one hundred fifty-one billion, four hundred nineteen million, two hundred sixty-four thousand, three hundred eighty-four".