153995850 has 96 divisors (see below), whose sum is σ = 435954240. Its totient is φ = 39942720.

The previous prime is 153995839. The next prime is 153995873. The reversal of 153995850 is 58599351.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 153995796 and 153995805.

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 47 ways as a sum of consecutive naturals, for example, 48409 + ... + 51491.

It is an arithmetic number, because the mean of its divisors is an integer number (4541190).

Almost surely, 2^153995850 is an apocalyptic number.

153995850 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 153995850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217977120).

153995850 is an abundant number, since it is smaller than the sum of its proper divisors (281958390).

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

153995850 is a wasteful number, since it uses less digits than its factorization.

153995850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3141 (or 3130 counting only the distinct ones).

The product of its (nonzero) digits is 243000, while the sum is 45.

The square root of 153995850 is about 12409.5064365993. The cubic root of 153995850 is about 536.0060262373.

The spelling of 153995850 in words is "one hundred fifty-three million, nine hundred ninety-five thousand, eight hundred fifty".