136457478144 has 336 divisors, whose sum is σ = 440314488432. Its totient is φ = 41978953728.

The previous prime is 136457478133. The next prime is 136457478161. The reversal of 136457478144 is 441874754631.

136457478144 is a `hidden beast` number, since 1 + 3 + 6 + 457 + 47 + 8 + 144 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25875892 + ... + 25881164.

It is an arithmetic number, because the mean of its divisors is an integer number (1310459787).

Almost surely, 2^136457478144 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 136457478144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220157244216).

136457478144 is an abundant number, since it is smaller than the sum of its proper divisors (303857010288).

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

136457478144 is an frugal number, since it uses more digits than its factorization.

136457478144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5327 (or 5291 counting only the distinct ones).

The product of its digits is 9031680, while the sum is 54.

The spelling of 136457478144 in words is "one hundred thirty-six billion, four hundred fifty-seven million, four hundred seventy-eight thousand, one hundred forty-four".