154001377007552 has 224 divisors, whose sum is σ = 328836718780416. Its totient is φ = 71302533120000.

The previous prime is 154001377007539. The next prime is 154001377007657. The reversal of 154001377007552 is 255700773100451.

154001377007552 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 154001377007497 and 154001377007506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47370461927 + ... + 47370465177.

It is an arithmetic number, because the mean of its divisors is an integer number (1468021065984).

Almost surely, 2^{154001377007552} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 154001377007552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164418359390208).

154001377007552 is an abundant number, since it is smaller than the sum of its proper divisors (174835341772864).

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

154001377007552 is a wasteful number, since it uses less digits than its factorization.

154001377007552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6155 (or 6145 counting only the distinct ones).

The product of its (nonzero) digits is 1029000, while the sum is 47.

The spelling of 154001377007552 in words is "one hundred fifty-four trillion, one billion, three hundred seventy-seven million, seven thousand, five hundred fifty-two".