154200960 has 192 divisors, whose sum is σ = 560898000. Its totient is φ = 38928384.

The previous prime is 154200923. The next prime is 154200971. The reversal of 154200960 is 69002451.

154200960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 108736 + ... + 110144.

Almost surely, 2^154200960 is an apocalyptic number.

154200960 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 154200960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280449000).

154200960 is an abundant number, since it is smaller than the sum of its proper divisors (406697040).

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

154200960 is a wasteful number, since it uses less digits than its factorization.

154200960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1453 (or 1438 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 154200960 is about 12417.7679153703. The cubic root of 154200960 is about 536.2438928673.

The spelling of 154200960 in words is "one hundred fifty-four million, two hundred thousand, nine hundred sixty".