154232035211040 has 384 divisors, whose sum is σ = 503552896680960. Its totient is φ = 39633820090368.

The previous prime is 154232035210933. The next prime is 154232035211123. The reversal of 154232035211040 is 40112530232451.

154232035211040 is digitally balanced in base 2, 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 = 154232035210992 and 154232035211010.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16843070142 + ... + 16843079298.

It is an arithmetic number, because the mean of its divisors is an integer number (1311335668440).

Almost surely, 2^{154232035211040} is an apocalyptic number.

154232035211040 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 154232035211040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251776448340480).

154232035211040 is an abundant number, since it is smaller than the sum of its proper divisors (349320861469920).

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

154232035211040 is a wasteful number, since it uses less digits than its factorization.

154232035211040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11404 (or 11396 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

Adding to 154232035211040 its reverse (40112530232451), we get a palindrome (194344565443491).

The spelling of 154232035211040 in words is "one hundred fifty-four trillion, two hundred thirty-two billion, thirty-five million, two hundred eleven thousand, forty".