151350433200 has 240 divisors, whose sum is σ = 539171740800. Its totient is φ = 40324435200.

The previous prime is 151350433189. The next prime is 151350433211. The reversal of 151350433200 is 2334053151.

151350433200 is a `hidden beast` number, since 15 + 13 + 5 + 0 + 433 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (151350433189) and next prime (151350433211).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 47 ways as a sum of consecutive naturals, for example, 13591635 + ... + 13602765.

It is an arithmetic number, because the mean of its divisors is an integer number (2246548920).

Almost surely, 2^151350433200 is an apocalyptic number.

151350433200 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 151350433200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269585870400).

151350433200 is an abundant number, since it is smaller than the sum of its proper divisors (387821307600).

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

151350433200 is a wasteful number, since it uses less digits than its factorization.

151350433200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12417 (or 12400 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 151350433200 its reverse (2334053151), we get a palindrome (153684486351).

The spelling of 151350433200 in words is "one hundred fifty-one billion, three hundred fifty million, four hundred thirty-three thousand, two hundred".