152064723826344 has 256 divisors, whose sum is σ = 474007184640000. Its totient is φ = 39680518173696.

The previous prime is 152064723826261. The next prime is 152064723826397. The reversal of 152064723826344 is 443628327460251.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6967147 + ... + 18779525.

It is an arithmetic number, because the mean of its divisors is an integer number (1851590565000).

Almost surely, 2^{152064723826344} is an apocalyptic number.

152064723826344 is a gapful number since it is divisible by the number (14) 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 152064723826344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237003592320000).

152064723826344 is an abundant number, since it is smaller than the sum of its proper divisors (321942460813656).

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

152064723826344 is a wasteful number, since it uses less digits than its factorization.

152064723826344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11812560 (or 11812556 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 57.

The spelling of 152064723826344 in words is "one hundred fifty-two trillion, sixty-four billion, seven hundred twenty-three million, eight hundred twenty-six thousand, three hundred forty-four".