151596000 has 144 divisors (see below), whose sum is σ = 538141968. Its totient is φ = 40416000.

The previous prime is 151595999. The next prime is 151596037. The reversal of 151596000 is 695151.

151596000 is a `hidden beast` number, since 1 + 5 + 1 + 59 + 600 + 0 = 666.

151596000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 33895 + ... + 38105.

It is an arithmetic number, because the mean of its divisors is an integer number (3737097).

Almost surely, 2^151596000 is an apocalyptic number.

151596000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151596000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269070984).

151596000 is an abundant number, since it is smaller than the sum of its proper divisors (386545968).

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

151596000 is a wasteful number, since it uses less digits than its factorization.

151596000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4242 (or 4221 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 27.

The square root of 151596000 is about 12312.4327409330. The cubic root of 151596000 is about 533.2070881745.

The spelling of 151596000 in words is "one hundred fifty-one million, five hundred ninety-six thousand".