151087184904864 has 384 divisors, whose sum is σ = 476526461564160. Its totient is φ = 41408391020544.

The previous prime is 151087184904863. The next prime is 151087184904899. The reversal of 151087184904864 is 468409481780151.

It is a junction number, because it is equal to n+sod(n) for n = 151087184904795 and 151087184904804.

It is not an unprimeable number, because it can be changed into a prime (151087184904863) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 393640792 + ... + 394024424.

It is an arithmetic number, because the mean of its divisors is an integer number (1240954326990).

Almost surely, 2^{151087184904864} 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 151087184904864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238263230782080).

151087184904864 is an abundant number, since it is smaller than the sum of its proper divisors (325439276659296).

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

151087184904864 is a wasteful number, since it uses less digits than its factorization.

151087184904864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384672 (or 384664 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 66.

The spelling of 151087184904864 in words is "one hundred fifty-one trillion, eighty-seven billion, one hundred eighty-four million, nine hundred four thousand, eight hundred sixty-four".