151385981544 has 192 divisors, whose sum is σ = 473513040000. Its totient is φ = 42798481920.

The previous prime is 151385981501. The next prime is 151385981567. The reversal of 151385981544 is 445189583151.

151385981544 is a `hidden beast` number, since 1 + 5 + 1 + 3 + 8 + 5 + 98 + 1 + 544 = 666.

151385981544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 56088307 + ... + 56091005.

It is an arithmetic number, because the mean of its divisors is an integer number (2466213750).

Almost surely, 2^151385981544 is an apocalyptic number.

151385981544 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 151385981544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236756520000).

151385981544 is an abundant number, since it is smaller than the sum of its proper divisors (322127058456).

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

151385981544 is a wasteful number, since it uses less digits than its factorization.

151385981544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3848 (or 3841 counting only the distinct ones).

The product of its digits is 3456000, while the sum is 54.

The spelling of 151385981544 in words is "one hundred fifty-one billion, three hundred eighty-five million, nine hundred eighty-one thousand, five hundred forty-four".