151093264 has 45 divisors (see below), whose sum is σ = 341315487. Its totient is φ = 64606752.

The previous prime is 151093249. The next prime is 151093289. The reversal of 151093264 is 462390151.

The square root of 151093264 is 12292.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 343957 + ... + 344395.

Almost surely, 2^151093264 is an apocalyptic number.

151093264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

151093264 is the 12292-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151093264

151093264 is an abundant number, since it is smaller than the sum of its proper divisors (190222223).

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

151093264 is an frugal number, since it uses more digits than its factorization.

151093264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The cubic root of 151093264 is about 532.6170126450.

The spelling of 151093264 in words is "one hundred fifty-one million, ninety-three thousand, two hundred sixty-four".