151147315008 has 224 divisors, whose sum is σ = 450826022400. Its totient is φ = 49650112512.

The previous prime is 151147314937. The next prime is 151147315013. The reversal of 151147315008 is 800513741151.

It is a happy number.

151147315008 is a `hidden beast` number, since 1 + 5 + 1 + 147 + 3 + 1 + 500 + 8 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 138286110 + ... + 138287202.

Almost surely, 2^151147315008 is an apocalyptic number.

151147315008 is a gapful number since it is divisible by the number (18) 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 151147315008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225413011200).

151147315008 is an abundant number, since it is smaller than the sum of its proper divisors (299678707392).

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

151147315008 is a wasteful number, since it uses less digits than its factorization.

151147315008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2206 (or 2190 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 36.

The spelling of 151147315008 in words is "one hundred fifty-one billion, one hundred forty-seven million, three hundred fifteen thousand, eight".