151824096 has 72 divisors (see below), whose sum is σ = 437280480. Its totient is φ = 49959936.

The previous prime is 151824047. The next prime is 151824097. The reversal of 151824096 is 690428151.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×151824096² = 46101112252434432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 151824096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151824097) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 19416 + ... + 26088.

It is an arithmetic number, because the mean of its divisors is an integer number (6073340).

Almost surely, 2^151824096 is an apocalyptic number.

151824096 is a gapful number since it is divisible by the number (16) 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 151824096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218640240).

151824096 is an abundant number, since it is smaller than the sum of its proper divisors (285456384).

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

151824096 is a wasteful number, since it uses less digits than its factorization.

151824096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6768 (or 6757 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 151824096 is about 12321.6920915920. The cubic root of 151824096 is about 533.4743807503.

The spelling of 151824096 in words is "one hundred fifty-one million, eight hundred twenty-four thousand, ninety-six".