156854142144 has 448 divisors, whose sum is σ = 541968537600. Its totient is φ = 43551129600.

The previous prime is 156854142083. The next prime is 156854142149. The reversal of 156854142144 is 441241458651.

156854142144 is a `hidden beast` number, since 1 + 5 + 68 + 541 + 4 + 2 + 1 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a self number, because there is not a number n which added to its sum of digits gives 156854142144.

It is not an unprimeable number, because it can be changed into a prime (156854142149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 178040584 + ... + 178041464.

It is an arithmetic number, because the mean of its divisors is an integer number (1209751200).

Almost surely, 2^156854142144 is an apocalyptic number.

156854142144 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 156854142144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270984268800).

156854142144 is an abundant number, since it is smaller than the sum of its proper divisors (385114395456).

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

156854142144 is a wasteful number, since it uses less digits than its factorization.

156854142144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1309 (or 1293 counting only the distinct ones).

The product of its digits is 614400, while the sum is 45.

The spelling of 156854142144 in words is "one hundred fifty-six billion, eight hundred fifty-four million, one hundred forty-two thousand, one hundred forty-four".