151288491943680 has 1152 divisors, whose sum is σ = 613037134080000. Its totient is φ = 30941334208512.

The previous prime is 151288491943637. The next prime is 151288491943709. The reversal of 151288491943680 is 86349194882151.

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 127 ways as a sum of consecutive naturals, for example, 3477954571 + ... + 3477998069.

It is an arithmetic number, because the mean of its divisors is an integer number (532150290000).

Almost surely, 2^{151288491943680} is an apocalyptic number.

151288491943680 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 151288491943680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306518567040000).

151288491943680 is an abundant number, since it is smaller than the sum of its proper divisors (461748642136320).

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

151288491943680 is a wasteful number, since it uses less digits than its factorization.

151288491943680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43849 (or 43835 counting only the distinct ones).

The product of its (nonzero) digits is 119439360, while the sum is 69.

The spelling of 151288491943680 in words is "one hundred fifty-one trillion, two hundred eighty-eight billion, four hundred ninety-one million, nine hundred forty-three thousand, six hundred eighty".