151006752 has 144 divisors (see below), whose sum is σ = 471802968. Its totient is φ = 45527040.

The previous prime is 151006729. The next prime is 151006763. The reversal of 151006752 is 257600151.

151006752 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 67174416 + 83832336 = 8196^2 + 9156^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 198052 + ... + 198812.

Almost surely, 2^151006752 is an apocalyptic number.

151006752 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 151006752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235901484).

151006752 is an abundant number, since it is smaller than the sum of its proper divisors (320796216).

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

151006752 is a wasteful number, since it uses less digits than its factorization.

151006752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 151006752 is about 12288.4804593570. The cubic root of 151006752 is about 532.5153391072.

The spelling of 151006752 in words is "one hundred fifty-one million, six thousand, seven hundred fifty-two".