151249047552 has 364 divisors, whose sum is σ = 466080841780. Its totient is φ = 49053745152.

The previous prime is 151249047541. The next prime is 151249047577. The reversal of 151249047552 is 255740942151.

The cubic root of 151249047552 is 5328.

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

151249047552 is a `hidden beast` number, since 1 + 5 + 1 + 2 + 4 + 90 + 4 + 7 + 552 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 117062516736 + 34186530816 = 342144^2 + 184896^2 .

It is a junction number, because it is equal to n+sod(n) for n = 151249047498 and 151249047507.

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 27 ways as a sum of consecutive naturals, for example, 4087812078 + ... + 4087812114.

Almost surely, 2^151249047552 is an apocalyptic number.

151249047552 is a gapful number since it is divisible by the number (12) 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 151249047552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233040420890).

151249047552 is an abundant number, since it is smaller than the sum of its proper divisors (314831794228).

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

151249047552 is an frugal number, since it uses more digits than its factorization.

151249047552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 151249047552 in words is "one hundred fifty-one billion, two hundred forty-nine million, forty-seven thousand, five hundred fifty-two".