153726564 has 48 divisors (see below), whose sum is σ = 381124800. Its totient is φ = 48134016.

The previous prime is 153726557. The next prime is 153726577. The reversal of 153726564 is 465627351.

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 15 ways as a sum of consecutive naturals, for example, 6907 + ... + 18845.

It is an arithmetic number, because the mean of its divisors is an integer number (7940100).

Almost surely, 2^153726564 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 153726564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190562400).

153726564 is an abundant number, since it is smaller than the sum of its proper divisors (227398236).

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

153726564 is a wasteful number, since it uses less digits than its factorization.

153726564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12012 (or 12010 counting only the distinct ones).

The product of its digits is 151200, while the sum is 39.

The square root of 153726564 is about 12398.6517008907. The cubic root of 153726564 is about 535.6934136274.

It can be divided in two parts, 153726 and 564, that added together give a triangular number (154290 = T₅₅₅).

The spelling of 153726564 in words is "one hundred fifty-three million, seven hundred twenty-six thousand, five hundred sixty-four".