154874016 has 288 divisors, whose sum is σ = 528353280. Its totient is φ = 42508800.

The previous prime is 154874011. The next prime is 154874017. The reversal of 154874016 is 610478451.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (154874011) by changing a digit.

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, 1865911 + ... + 1865993.

It is an arithmetic number, because the mean of its divisors is an integer number (1834560).

Almost surely, 2^154874016 is an apocalyptic number.

154874016 is a gapful number since it is divisible by the number (16) 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 154874016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264176640).

154874016 is an abundant number, since it is smaller than the sum of its proper divisors (373479264).

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

154874016 is a wasteful number, since it uses less digits than its factorization.

154874016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 154874016 is about 12444.8389302554. The cubic root of 154874016 is about 537.0229591840.

It can be divided in two parts, 15487 and 4016, that added together give a triangular number (19503 = T₁₉₇).

The spelling of 154874016 in words is "one hundred fifty-four million, eight hundred seventy-four thousand, sixteen".