151353274644 has 576 divisors, whose sum is σ = 483883545600. Its totient is φ = 39249100800.

The previous prime is 151353274643. The next prime is 151353274661. The reversal of 151353274644 is 446472353151.

151353274644 is a `hidden beast` number, since 1 + 5 + 1 + 3 + 532 + 74 + 6 + 44 = 666.

151353274644 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 151353274644.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151353274643) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 483556632 + ... + 483556944.

It is an arithmetic number, because the mean of its divisors is an integer number (840075600).

Almost surely, 2^151353274644 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 151353274644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241941772800).

151353274644 is an abundant number, since it is smaller than the sum of its proper divisors (332530270956).

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

151353274644 is a wasteful number, since it uses less digits than its factorization.

151353274644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 491 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 45.

The spelling of 151353274644 in words is "one hundred fifty-one billion, three hundred fifty-three million, two hundred seventy-four thousand, six hundred forty-four".