153768213 has 24 divisors (see below), whose sum is σ = 243891648. Its totient is φ = 96479424.

The previous prime is 153768191. The next prime is 153768221. The reversal of 153768213 is 312867351.

It is not a de Polignac number, because 153768213 - 2¹⁸ = 153506069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153768113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14481 + ... + 22742.

It is an arithmetic number, because the mean of its divisors is an integer number (10162152).

Almost surely, 2^153768213 is an apocalyptic number.

It is an amenable number.

153768213 is a deficient number, since it is larger than the sum of its proper divisors (90123435).

153768213 is an equidigital number, since it uses as much as digits as its factorization.

153768213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37255 (or 37243 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 153768213 is about 12400.3311649327. The cubic root of 153768213 is about 535.7417875710.

The spelling of 153768213 in words is "one hundred fifty-three million, seven hundred sixty-eight thousand, two hundred thirteen".