151338096 has 120 divisors (see below), whose sum is σ = 521320800. Its totient is φ = 39909888.

The previous prime is 151338079. The next prime is 151338101. The reversal of 151338096 is 690833151.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 151338096.

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, 7330 + ... + 18878.

It is an arithmetic number, because the mean of its divisors is an integer number (4344340).

Almost surely, 2^151338096 is an apocalyptic number.

151338096 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 151338096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260660400).

151338096 is an abundant number, since it is smaller than the sum of its proper divisors (369982704).

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

151338096 is a wasteful number, since it uses less digits than its factorization.

151338096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11583 (or 11574 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 151338096 is about 12301.9549665897. The cubic root of 151338096 is about 532.9045421569.

The spelling of 151338096 in words is "one hundred fifty-one million, three hundred thirty-eight thousand, ninety-six".