151416620974080 has 3200 divisors, whose sum is σ = 693615753072000. Its totient is φ = 31463193968640.

The previous prime is 151416620974063. The next prime is 151416620974093. The reversal of 151416620974080 is 80479026614151.

151416620974080 is a `hidden beast` number, since 1 + 5 + 1 + 4 + 1 + 6 + 620 + 9 + 7 + 4 + 0 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 159 ways as a sum of consecutive naturals, for example, 13765147361275 + ... + 13765147361285.

It is an arithmetic number, because the mean of its divisors is an integer number (216754922835).

Almost surely, 2^{151416620974080} is an apocalyptic number.

151416620974080 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 151416620974080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346807876536000).

151416620974080 is an abundant number, since it is smaller than the sum of its proper divisors (542199132097920).

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

151416620974080 is an frugal number, since it uses more digits than its factorization.

151416620974080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 151416620974080 in words is "one hundred fifty-one trillion, four hundred sixteen billion, six hundred twenty million, nine hundred seventy-four thousand, eighty".