151579104 has 96 divisors (see below), whose sum is σ = 408512160. Its totient is φ = 49201152.

The previous prime is 151579097. The next prime is 151579111. The reversal of 151579104 is 401975151.

It is an interprime number because it is at equal distance from previous prime (151579097) and next prime (151579111).

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 (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 965394 + ... + 965550.

It is an arithmetic number, because the mean of its divisors is an integer number (4255335).

Almost surely, 2^151579104 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 151579104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204256080).

151579104 is an abundant number, since it is smaller than the sum of its proper divisors (256933056).

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

151579104 is a wasteful number, since it uses less digits than its factorization.

151579104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 33.

The square root of 151579104 is about 12311.7465860860. The cubic root of 151579104 is about 533.1872780614.

The spelling of 151579104 in words is "one hundred fifty-one million, five hundred seventy-nine thousand, one hundred four".