153985536 has 200 divisors, whose sum is σ = 475326720. Its totient is φ = 49600512.

The previous prime is 153985477. The next prime is 153985547. The reversal of 153985536 is 635589351.

153985536 is a `hidden beast` number, since 1 + 5 + 3 + 98 + 553 + 6 = 666.

It is a super-3 number, since 3×153985536³ (a number of 26 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 153985491 and 153985500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1949145 + ... + 1949223.

Almost surely, 2^153985536 is an apocalyptic number.

153985536 is a gapful number since it is divisible by the number (16) 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 153985536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237663360).

153985536 is an abundant number, since it is smaller than the sum of its proper divisors (321341184).

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

153985536 is an frugal number, since it uses more digits than its factorization.

153985536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 131 counting only the distinct ones).

The product of its digits is 486000, while the sum is 45.

The square root of 153985536 is about 12409.0908611389. The cubic root of 153985536 is about 535.9940594871.

The spelling of 153985536 in words is "one hundred fifty-three million, nine hundred eighty-five thousand, five hundred thirty-six".