153995985 has 80 divisors (see below), whose sum is σ = 324434880. Its totient is φ = 68895360.

The previous prime is 153995983. The next prime is 153995993. The reversal of 153995985 is 589599351.

It is a happy number.

153995985 is a `hidden beast` number, since 15 + 39 + 9 + 598 + 5 = 666.

153995985 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 153995985 - 2¹ = 153995983 is a prime.

It is a super-2 number, since 2×153995985² = 47429526792240450, which contains 22 as substring.

Its product of digits (2187000) is a multiple of the sum of its prime factors (2700).

It is not an unprimeable number, because it can be changed into a prime (153995983) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 56586 + ... + 59244.

It is an arithmetic number, because the mean of its divisors is an integer number (4055436).

Almost surely, 2^153995985 is an apocalyptic number.

153995985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

153995985 is an abundant number, since it is smaller than the sum of its proper divisors (170438895).

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

153995985 is a wasteful number, since it uses less digits than its factorization.

153995985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2700 (or 2691 counting only the distinct ones).

The product of its digits is 2187000, while the sum is 54.

The square root of 153995985 is about 12409.5118759764. The cubic root of 153995985 is about 536.0061828666.

The spelling of 153995985 in words is "one hundred fifty-three million, nine hundred ninety-five thousand, nine hundred eighty-five".