151827333120 has 720 divisors, whose sum is σ = 566779973760. Its totient is φ = 38942539776.

The previous prime is 151827333109. The next prime is 151827333181. The reversal of 151827333120 is 21333728151.

It is a happy number.

151827333120 is a `hidden beast` number, since 1 + 51 + 8 + 273 + 331 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 577290109 + ... + 577290371.

It is an arithmetic number, because the mean of its divisors is an integer number (787194408).

Almost surely, 2^151827333120 is an apocalyptic number.

151827333120 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 151827333120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283389986880).

151827333120 is an abundant number, since it is smaller than the sum of its proper divisors (414952640640).

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

151827333120 is an frugal number, since it uses more digits than its factorization.

151827333120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 151827333120 in words is "one hundred fifty-one billion, eight hundred twenty-seven million, three hundred thirty-three thousand, one hundred twenty".