154038001888064 has 224 divisors, whose sum is σ = 372666446521344. Its totient is φ = 61667561963520.

The previous prime is 154038001888039. The next prime is 154038001888117. The reversal of 154038001888064 is 460888100830451.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 542033369 + ... + 542317479.

Almost surely, 2^{154038001888064} is an apocalyptic number.

154038001888064 is a gapful number since it is divisible by the number (14) 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 154038001888064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186333223260672).

154038001888064 is an abundant number, since it is smaller than the sum of its proper divisors (218628444633280).

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

154038001888064 is a wasteful number, since it uses less digits than its factorization.

154038001888064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284681 (or 284671 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 56.

The spelling of 154038001888064 in words is "one hundred fifty-four trillion, thirty-eight billion, one million, eight hundred eighty-eight thousand, sixty-four".