154100016461340 has 144 divisors (see below), whose sum is σ = 470643157071360. Its totient is φ = 40811581065600.

The previous prime is 154100016461323. The next prime is 154100016461393. The reversal of 154100016461340 is 43164610001451.

154100016461340 is a `hidden beast` number, since 1 + 5 + 4 + 1 + 0 + 0 + 0 + 1 + 646 + 1 + 3 + 4 + 0 = 666.

154100016461340 is digitally balanced in base 2, 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 a junction number, because it is equal to n+sod(n) for n = 154100016461295 and 154100016461304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 115094017 + ... + 116425223.

It is an arithmetic number, because the mean of its divisors is an integer number (3268355257440).

Almost surely, 2^{154100016461340} is an apocalyptic number.

154100016461340 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 154100016461340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235321578535680).

154100016461340 is an abundant number, since it is smaller than the sum of its proper divisors (316543140610020).

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

154100016461340 is a wasteful number, since it uses less digits than its factorization.

154100016461340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1335632 (or 1335627 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 154100016461340 its reverse (43164610001451), we get a palindrome (197264626462791).

The spelling of 154100016461340 in words is "one hundred fifty-four trillion, one hundred billion, sixteen million, four hundred sixty-one thousand, three hundred forty".