154560 has 112 divisors (see below), whose sum is σ = 585216. Its totient is φ = 33792.

The previous prime is 154543. The next prime is 154571. The reversal of 154560 is 65451.

154560 = T₃₅ + T₃₆ + ... + T₉₈.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nialpdrome in base 12.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 154560.

It is an unprimeable number.

154560 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6709 + ... + 6731.

2¹⁵⁴⁵⁶⁰ is an apocalyptic number.

154560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 154560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292608).

154560 is an abundant number, since it is smaller than the sum of its proper divisors (430656).

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

154560 is a wasteful number, since it uses less digits than its factorization.

154560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 154560 is about 393.1411960098. The cubic root of 154560 is about 53.6659765267.

The spelling of 154560 in words is "one hundred fifty-four thousand, five hundred sixty".