154001801772 has 960 divisors, whose sum is σ = 561169889280. Its totient is φ = 35634733056.

The previous prime is 154001801741. The next prime is 154001801773. The reversal of 154001801772 is 277108100451.

154001801772 is a `hidden beast` number, since 1 + 5 + 400 + 1 + 80 + 177 + 2 = 666.

154001801772 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 (154001801773) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 980903118 + ... + 980903274.

It is an arithmetic number, because the mean of its divisors is an integer number (584551968).

Almost surely, 2^154001801772 is an apocalyptic number.

154001801772 is a gapful number since it is divisible by the number (12) 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 154001801772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280584944640).

154001801772 is an abundant number, since it is smaller than the sum of its proper divisors (407168087508).

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

154001801772 is a wasteful number, since it uses less digits than its factorization.

154001801772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 36.

The spelling of 154001801772 in words is "one hundred fifty-four billion, one million, eight hundred one thousand, seven hundred seventy-two".