153927536896 has 243 divisors, whose sum is σ = 372616439013. Its totient is φ = 63275950080.

The previous prime is 153927536891. The next prime is 153927536911. The reversal of 153927536896 is 698635729351.

The square root of 153927536896 is 392336.

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

It can be written as a sum of positive squares in only one way, i.e., 2712326400 + 151215210496 = 52080^2 + 388864^2 .

It is a super-2 number, since 2×153927536896² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is not an unprimeable number, because it can be changed into a prime (153927536891) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 1362190536 + ... + 1362190648.

Almost surely, 2^153927536896 is an apocalyptic number.

153927536896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

153927536896 is the 392336-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153927536896

153927536896 is an abundant number, since it is smaller than the sum of its proper divisors (218688902117).

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

153927536896 is an frugal number, since it uses more digits than its factorization.

153927536896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 153 counting only the distinct ones).

The product of its digits is 73483200, while the sum is 64.

Multiplying 153927536896 by its sum of digits (64), we get a square (9851362361344 = 3138688²).

153927536896 divided by its sum of digits (64) gives a square (2405117764 = 49042²).

The spelling of 153927536896 in words is "one hundred fifty-three billion, nine hundred twenty-seven million, five hundred thirty-six thousand, eight hundred ninety-six".