151342732800 has 1260 divisors, whose sum is σ = 655949535516. Its totient is φ = 34488115200.

The previous prime is 151342732787. The next prime is 151342732813. The reversal of 151342732800 is 8237243151.

151342732800 is a `hidden beast` number, since 151 + 3 + 427 + 3 + 2 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (151342732787) and next prime (151342732813).

It is a tau number, because it is divible by the number of its divisors (1260).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 125 ways as a sum of consecutive naturals, for example, 457228635 + ... + 457228965.

Almost surely, 2^151342732800 is an apocalyptic number.

151342732800 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 151342732800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327974767758).

151342732800 is an abundant number, since it is smaller than the sum of its proper divisors (504606802716).

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

151342732800 is an frugal number, since it uses more digits than its factorization.

151342732800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Adding to 151342732800 its reverse (8237243151), we get a palindrome (159579975951).

The spelling of 151342732800 in words is "one hundred fifty-one billion, three hundred forty-two million, seven hundred thirty-two thousand, eight hundred".