151101584088 has 512 divisors, whose sum is σ = 510625382400. Its totient is φ = 36142848000.

The previous prime is 151101583957. The next prime is 151101584129. The reversal of 151101584088 is 880485101151.

It is a happy number.

151101584088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 129923395 + ... + 129924557.

It is an arithmetic number, because the mean of its divisors is an integer number (997315200).

Almost surely, 2^151101584088 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 151101584088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255312691200).

151101584088 is an abundant number, since it is smaller than the sum of its proper divisors (359523798312).

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

151101584088 is a wasteful number, since it uses less digits than its factorization.

151101584088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1343 (or 1339 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 42.

The spelling of 151101584088 in words is "one hundred fifty-one billion, one hundred one million, five hundred eighty-four thousand, eighty-eight".