151149390336 has 1120 divisors, whose sum is σ = 568050392448. Its totient is φ = 39176110080.

The previous prime is 151149390323. The next prime is 151149390367. The reversal of 151149390336 is 633093941151.

151149390336 is a `hidden beast` number, since 1 + 511 + 49 + 3 + 90 + 3 + 3 + 6 = 666.

It is a super-2 number, since 2×151149390336² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 151149390291 and 151149390300.

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 111 ways as a sum of consecutive naturals, for example, 1821076951 + ... + 1821077033.

Almost surely, 2^151149390336 is an apocalyptic number.

151149390336 is a gapful number since it is divisible by the number (16) 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 151149390336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284025196224).

151149390336 is an abundant number, since it is smaller than the sum of its proper divisors (416901002112).

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

151149390336 is an frugal number, since it uses more digits than its factorization.

151149390336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The spelling of 151149390336 in words is "one hundred fifty-one billion, one hundred forty-nine million, three hundred ninety thousand, three hundred thirty-six".