151645633920 has 640 divisors, whose sum is σ = 596862082080. Its totient is φ = 36384768000.

The previous prime is 151645633891. The next prime is 151645633927. The reversal of 151645633920 is 29336546151.

151645633920 is a `hidden beast` number, since 1 + 5 + 1 + 6 + 4 + 5 + 633 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151645633927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 57592924 + ... + 57595556.

Almost surely, 2^151645633920 is an apocalyptic number.

151645633920 is a gapful number since it is divisible by the number (10) 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 151645633920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298431041040).

151645633920 is an abundant number, since it is smaller than the sum of its proper divisors (445216448160).

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

151645633920 is a wasteful number, since it uses less digits than its factorization.

151645633920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2776 (or 2755 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 151645633920 in words is "one hundred fifty-one billion, six hundred forty-five million, six hundred thirty-three thousand, nine hundred twenty".