153992 has 8 divisors (see below), whose sum is σ = 288750. Its totient is φ = 76992.

The previous prime is 153991. The next prime is 153997. The reversal of 153992 is 299351.

It can be written as a sum of positive squares in only one way, i.e., 111556 + 42436 = 334^2 + 206^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 153992.

It is not an unprimeable number, because it can be changed into a prime (153991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 9617 + ... + 9632.

2¹⁵³⁹⁹² is an apocalyptic number.

It is an amenable number.

153992 is a deficient number, since it is larger than the sum of its proper divisors (134758).

153992 is a wasteful number, since it uses less digits than its factorization.

153992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19255 (or 19251 counting only the distinct ones).

The product of its digits is 2430, while the sum is 29.

The square root of 153992 is about 392.4181443308. The cubic root of 153992 is about 53.6001559363.

The spelling of 153992 in words is "one hundred fifty-three thousand, nine hundred ninety-two".