151119488016 has 720 divisors, whose sum is σ = 557831439360. Its totient is φ = 37832417280.

The previous prime is 151119487973. The next prime is 151119488017. The reversal of 151119488016 is 610884911151.

It is a happy number.

151119488016 is a `hidden beast` number, since 1 + 51 + 119 + 488 + 0 + 1 + 6 = 666.

151119488016 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (151119488017) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 139023825 + ... + 139024911.

It is an arithmetic number, because the mean of its divisors is an integer number (774765888).

Almost surely, 2^151119488016 is an apocalyptic number.

151119488016 is a gapful number since it is divisible by the number (16) 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 151119488016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278915719680).

151119488016 is an abundant number, since it is smaller than the sum of its proper divisors (406711951344).

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

151119488016 is a wasteful number, since it uses less digits than its factorization.

151119488016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1212 (or 1196 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 45.

The spelling of 151119488016 in words is "one hundred fifty-one billion, one hundred nineteen million, four hundred eighty-eight thousand, sixteen".