151348320 has 144 divisors (see below), whose sum is σ = 525247632. Its totient is φ = 39674880.

The previous prime is 151348283. The next prime is 151348321. The reversal of 151348320 is 23843151.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151348321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86979 + ... + 88701.

It is an arithmetic number, because the mean of its divisors is an integer number (3647553).

Almost surely, 2^151348320 is an apocalyptic number.

151348320 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 151348320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262623816).

151348320 is an abundant number, since it is smaller than the sum of its proper divisors (373899312).

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

151348320 is a wasteful number, since it uses less digits than its factorization.

151348320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1805 (or 1794 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 151348320 is about 12302.3705032811. The cubic root of 151348320 is about 532.9165424254.

The spelling of 151348320 in words is "one hundred fifty-one million, three hundred forty-eight thousand, three hundred twenty".