151239264 has 96 divisors (see below), whose sum is σ = 435891456. Its totient is φ = 45534720.

The previous prime is 151239241. The next prime is 151239271. The reversal of 151239264 is 462932151.

151239264 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 (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 207669 + ... + 208395.

It is an arithmetic number, because the mean of its divisors is an integer number (4540536).

Almost surely, 2^151239264 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 151239264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217945728).

151239264 is an abundant number, since it is smaller than the sum of its proper divisors (284652192).

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

151239264 is a wasteful number, since it uses less digits than its factorization.

151239264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948 (or 940 counting only the distinct ones).

The product of its digits is 12960, while the sum is 33.

The square root of 151239264 is about 12297.9373880338. The cubic root of 151239264 is about 532.7885116876.

The spelling of 151239264 in words is "one hundred fifty-one million, two hundred thirty-nine thousand, two hundred sixty-four".