151995340800 has 432 divisors, whose sum is σ = 576398342520. Its totient is φ = 38145884160.

The previous prime is 151995340799. The next prime is 151995340853. The reversal of 151995340800 is 8043599151.

151995340800 is a `hidden beast` number, since 1 + 5 + 199 + 53 + 408 + 0 + 0 = 666.

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

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 7823899 + ... + 7843301.

Almost surely, 2^151995340800 is an apocalyptic number.

151995340800 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 151995340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288199171260).

151995340800 is an abundant number, since it is smaller than the sum of its proper divisors (424403001720).

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

151995340800 is a wasteful number, since it uses less digits than its factorization.

151995340800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19458 (or 19430 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 151995340800 in words is "one hundred fifty-one billion, nine hundred ninety-five million, three hundred forty thousand, eight hundred".