150729552864 has 192 divisors, whose sum is σ = 483561308160. Its totient is φ = 45675273600.

The previous prime is 150729552781. The next prime is 150729552887. The reversal of 150729552864 is 468255927051.

150729552864 is a `hidden beast` number, since 1 + 5 + 0 + 7 + 2 + 9 + 552 + 86 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 150729552864.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1084449 + ... + 1215519.

It is an arithmetic number, because the mean of its divisors is an integer number (2518548480).

Almost surely, 2^150729552864 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 150729552864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241780654080).

150729552864 is an abundant number, since it is smaller than the sum of its proper divisors (332831755296).

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

150729552864 is a wasteful number, since it uses less digits than its factorization.

150729552864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131123 (or 131087 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The spelling of 150729552864 in words is "one hundred fifty billion, seven hundred twenty-nine million, five hundred fifty-two thousand, eight hundred sixty-four".