151662841200 has 1440 divisors, whose sum is σ = 644758732800. Its totient is φ = 32606945280.

The previous prime is 151662841193. The next prime is 151662841223. The reversal of 151662841200 is 2148266151.

It is a happy number.

151662841200 is a `hidden beast` number, since 1 + 5 + 1 + 6 + 628 + 4 + 1 + 20 + 0 = 666.

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 polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1194195537 + ... + 1194195663.

It is an arithmetic number, because the mean of its divisors is an integer number (447749120).

Almost surely, 2^151662841200 is an apocalyptic number.

151662841200 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 151662841200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322379366400).

151662841200 is an abundant number, since it is smaller than the sum of its proper divisors (493095891600).

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

151662841200 is a wasteful number, since it uses less digits than its factorization.

151662841200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 151662841200 in words is "one hundred fifty-one billion, six hundred sixty-two million, eight hundred forty-one thousand, two hundred".