151126778880000 has 3360 divisors, whose sum is σ = 686765227180032. Its totient is φ = 31098470400000.

The previous prime is 151126778879959. The next prime is 151126778880013. The reversal of 151126778880000 is 88877621151.

151126778880000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (3360).

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 239 ways as a sum of consecutive naturals, for example, 677698559889 + ... + 677698560111.

Almost surely, 2^{151126778880000} is an apocalyptic number.

151126778880000 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 151126778880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343382613590016).

151126778880000 is an abundant number, since it is smaller than the sum of its proper divisors (535638448300032).

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

151126778880000 is a wasteful number, since it uses less digits than its factorization.

151126778880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 54.

The spelling of 151126778880000 in words is "one hundred fifty-one trillion, one hundred twenty-six billion, seven hundred seventy-eight million, eight hundred eighty thousand".