151970676000 has 1152 divisors, whose sum is σ = 602573707008. Its totient is φ = 33251328000.

The previous prime is 151970675999. The next prime is 151970676029. The reversal of 151970676000 is 676079151.

151970676000 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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1566707952 + ... + 1566708048.

It is an arithmetic number, because the mean of its divisors is an integer number (523067454).

Almost surely, 2^151970676000 is an apocalyptic number.

151970676000 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 151970676000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301286853504).

151970676000 is an abundant number, since it is smaller than the sum of its proper divisors (450603031008).

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

151970676000 is a wasteful number, since it uses less digits than its factorization.

151970676000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 42.

The spelling of 151970676000 in words is "one hundred fifty-one billion, nine hundred seventy million, six hundred seventy-six thousand".