151993813248 has 108 divisors (see below), whose sum is σ = 464014320588. Its totient is φ = 47684321280.

The previous prime is 151993813219. The next prime is 151993813261. The reversal of 151993813248 is 842318399151.

It is a happy number.

151993813248 is a `hidden beast` number, since 1 + 5 + 19 + 9 + 381 + 3 + 248 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 140751028224 + 11242785024 = 375168^2 + 106032^2 .

It is a junction number, because it is equal to n+sod(n) for n = 151993813194 and 151993813203.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1901113 + ... + 1979448.

Almost surely, 2^151993813248 is an apocalyptic number.

151993813248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

151993813248 is an abundant number, since it is smaller than the sum of its proper divisors (312020507340).

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

151993813248 is a wasteful number, since it uses less digits than its factorization.

151993813248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3880600 (or 3880583 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 54.

The spelling of 151993813248 in words is "one hundred fifty-one billion, nine hundred ninety-three million, eight hundred thirteen thousand, two hundred forty-eight".