154985600 has 384 divisors, whose sum is σ = 519073920. Its totient is φ = 44236800.

The previous prime is 154985591. The next prime is 154985627. The reversal of 154985600 is 6589451.

154985600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 4188782 + ... + 4188818.

It is an arithmetic number, because the mean of its divisors is an integer number (1351755).

Almost surely, 2^154985600 is an apocalyptic number.

154985600 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 154985600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259536960).

154985600 is an abundant number, since it is smaller than the sum of its proper divisors (364088320).

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

154985600 is a wasteful number, since it uses less digits than its factorization.

154985600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 38.

The square root of 154985600 is about 12449.3212666394. The cubic root of 154985600 is about 537.1519000827.

It can be divided in two parts, 154 and 985600, that multiplied together give a square (151782400 = 12320²).

The spelling of 154985600 in words is "one hundred fifty-four million, nine hundred eighty-five thousand, six hundred".