151041787096200 has 1536 divisors, whose sum is σ = 647368645754880. Its totient is φ = 28354005504000.

The previous prime is 151041787096199. The next prime is 151041787096279. The reversal of 151041787096200 is 2690787140151.

151041787096200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3415590090 + ... + 3415634310.

It is an arithmetic number, because the mean of its divisors is an integer number (421463962080).

Almost surely, 2^{151041787096200} is an apocalyptic number.

151041787096200 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 151041787096200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323684322877440).

151041787096200 is an abundant number, since it is smaller than the sum of its proper divisors (496326858658680).

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

151041787096200 is a wasteful number, since it uses less digits than its factorization.

151041787096200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44340 (or 44309 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 51.

The spelling of 151041787096200 in words is "one hundred fifty-one trillion, forty-one billion, seven hundred eighty-seven million, ninety-six thousand, two hundred".