153954 has 16 divisors (see below), whose sum is σ = 342240. Its totient is φ = 51300.

The previous prime is 153953. The next prime is 153991. The reversal of 153954 is 459351.

It is a Smith number, since the sum of its digits (27) 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 (27).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 153954.

It is not an unprimeable number, because it can be changed into a prime (153953) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1372 + ... + 1479.

It is an arithmetic number, because the mean of its divisors is an integer number (21390).

2¹⁵³⁹⁵⁴ is an apocalyptic number.

153954 is an abundant number, since it is smaller than the sum of its proper divisors (188286).

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

153954 is a wasteful number, since it uses less digits than its factorization.

153954 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2862 (or 2856 counting only the distinct ones).

The product of its digits is 2700, while the sum is 27.

The square root of 153954 is about 392.3697236026. The cubic root of 153954 is about 53.5957466737.

It can be divided in two parts, 15 and 3954, that added together give a square (3969 = 63²).

The spelling of 153954 in words is "one hundred fifty-three thousand, nine hundred fifty-four".