153975 has 12 divisors (see below), whose sum is σ = 254696. Its totient is φ = 82080.

The previous prime is 153953. The next prime is 153991. The reversal of 153975 is 579351.

It is a happy number.

153975 is an esthetic number in base 8, because in such base its adjacent digits differ by 1.

It is not a de Polignac number, because 153975 - 2⁶ = 153911 is a prime.

It is a Duffinian number.

153975 is a lucky number.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 952 + ... + 1101.

2¹⁵³⁹⁷⁵ is an apocalyptic number.

153975 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

153975 is a deficient number, since it is larger than the sum of its proper divisors (100721).

153975 is a wasteful number, since it uses less digits than its factorization.

153975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2066 (or 2061 counting only the distinct ones).

The product of its digits is 4725, while the sum is 30.

The square root of 153975 is about 392.3964831647. The cubic root of 153975 is about 53.5981834611.

It can be divided in two parts, 153 and 975, that added together give a triangular number (1128 = T₄₇).

The spelling of 153975 in words is "one hundred fifty-three thousand, nine hundred seventy-five".